1510.06699: formula evidence

The rendered column is KaTeX, and KaTeX has no preamble. It cannot use \usepackage or this document’s own macros. Corpus-wide, \bm occurs 327 times, \Perp is defined by no package and spans 10 documents, and 11,088 of 11,624 undefined occurrences are the source document’s own macros. A row that looks wrong here may be correct, and one that looks right here may not compile. The LaTeX report renders through the document’s own preamble and is the surface to judge from.

1034 rows

Inline formulas (first occurrence) (1034)

The page, the confidence and the picture of an inline formula are its HOST LINE's --- a formula has none of its own. A line's confidence is not a formula's.

IdentifierPageConf.LaTeX sourceRenderedImage
1510.06699_FO000110.755{ }^{1,2, \mathrm{a}}1510.06699_FO0001
1510.06699_FO000210.755{ }^{1, \mathrm{~b}}1510.06699_FO0002
1510.06699_FO000310.969{ }^{1)}1510.06699_FO0003
1510.06699_FO000410.979{ }^{2)}1510.06699_FO0004
1510.06699_FO000510.947{ }^{\underline{1}}1510.06699_FO0005
1510.06699_FO000610.998\varphi1510.06699_FO0006
1510.06699_FO000710.798{ }^{\text {a) }}1510.06699_FO0007
1510.06699_FO000810.997{ }^{\text {b) }}1510.06699_FO0008
1510.06699_FO000911.000S_{\mathrm{M}}=1510.06699_FO0009
1510.06699_FO001011.000\int L_{\mathrm{M}}\left(\varphi, \partial_{\mu} \varphi\right) d^{4} x1510.06699_FO0010
1510.06699_FO001111.000h_{a}{ }^{\mu}1510.06699_FO0011
1510.06699_FO001211.000A^{a b}{ }_{\mu}1510.06699_FO0012
1510.06699_FO001310.990\mathcal{D}_{a} \varphi1510.06699_FO0013
1510.06699_FO001411.000S_{\mathrm{M}}=\int h^{-1} L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a} \varphi\right) d^{4} x1510.06699_FO0014
1510.06699_FO001511.000h \equiv \operatorname{det}\left(h_{a}{ }^{\mu}\right)1510.06699_FO0015
1510.06699_FO001621.000\left[\mathcal{D}_{a}, \mathcal{D}_{b}\right] \varphi1510.06699_FO0016
1510.06699_FO001721.000\mathcal{R}^{a b}{ }_{c d}(h, A, \partial A)1510.06699_FO0017
1510.06699_FO001820.999\mathcal{T}^{a}{ }_{b c}(h, \partial h, A)1510.06699_FO0018
1510.06699_FO001921.000S_{\mathrm{G}}=\int h^{-1} L_{\mathrm{G}}\left(\mathcal{R}^{a b}{ }_{c d}, \mathcal{T}^{a}{ }_{b c}\right) d^{4} x1510.06699_FO0019
1510.06699_FO002021.000L_{\mathrm{G}}1510.06699_FO0020
1510.06699_FO002121.000\tau^{k}{ }_{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta h_{a}{ }^{\mu}1510.06699_FO0021
1510.06699_FO002221.000\sigma_{a b}{ }^{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta A^{a b}{ }_{\mu}1510.06699_FO0022
1510.06699_FO002321.000\mathcal{L}_{\mathrm{M}} \equiv h^{-1} L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a} \varphi\right)1510.06699_FO0023
1510.06699_FO002421.000\mathcal{R} \equiv \mathcal{R}^{a b}{ }_{a b}1510.06699_FO0024
1510.06699_FO002521.000L_{\mathrm{G}} \propto \mathcal{R}1510.06699_FO0025
1510.06699_FO002620.733{ }^{\underline{5}}1510.06699_FO0026
1510.06699_FO002721.000\delta \varphi \equiv \varphi^{\prime}\left(x^{\prime}\right)-\varphi(x)1510.06699_FO0027
1510.06699_FO002821.000\delta_{0} \varphi \equiv \varphi^{\prime}(x)-\varphi(x)1510.06699_FO0028
1510.06699_FO002921.000\delta_{0} \varphi1510.06699_FO0029
1510.06699_FO003020.988{ }^{6,9}1510.06699_FO0030
1510.06699_FO003120.991{ }^{\underline{10}}1510.06699_FO0031
1510.06699_FO003221.000\mathcal{R}^{a b}{ }_{c d}1510.06699_FO0032
1510.06699_FO003321.000\mathcal{T}^{a}{ }_{b c}1510.06699_FO0033
1510.06699_FO003421.000{ }^{11,12}1510.06699_FO0034
1510.06699_FO003521.000\kappa=8 \pi G / c^{4}1510.06699_FO0035
1510.06699_FO003621.000\Lambda1510.06699_FO0036
1510.06699_FO003721.000a1510.06699_FO0037
1510.06699_FO003831.000\alpha_{i}1510.06699_FO0038
1510.06699_FO003931.000\beta_{i}1510.06699_FO0039
1510.06699_FO004030.362{ }^{\underline{12,14}-\underline{16}}1510.06699_FO0040
1510.06699_FO004131.000\alpha_{1}, \alpha_{3}1510.06699_FO0041
1510.06699_FO004231.000\alpha_{6}1510.06699_FO0042
1510.06699_FO004330.999c=\hbar=11510.06699_FO0043
1510.06699_FO004430.944{ }^{-4}1510.06699_FO0044
1510.06699_FO004530.944S_{\mathrm{G}}1510.06699_FO0045
1510.06699_FO004631.000\kappa1510.06699_FO0046
1510.06699_FO004730.986{ }^{-2}1510.06699_FO0047
1510.06699_FO004830.585{ }^{19,20}1510.06699_FO0048
1510.06699_FO004931.000b^{a}{ }_{\mu}1510.06699_FO0049
1510.06699_FO005031.000h1510.06699_FO0050
1510.06699_FO005131.000b^{a}{ }_{0}1510.06699_FO0051
1510.06699_FO005231.000A^{a b}{ }_{0}1510.06699_FO0052
1510.06699_FO005331.000b^{a}{ }_{\alpha}1510.06699_FO0053
1510.06699_FO005431.000A^{a b}{ }_{\alpha}(\alpha=1,2,3)1510.06699_FO0054
1510.06699_FO005531.000\mathcal{R}+\mathcal{T}^{2}1510.06699_FO0055
1510.06699_FO005631.000L_{\mathrm{G}}=\kappa^{-1}\left(a \mathcal{R}+L_{\mathcal{T}^{2}}\right)1510.06699_FO0056
1510.06699_FO005731.000A1510.06699_FO0057
1510.06699_FO005831.000L_{\mathcal{R}^{2}}1510.06699_FO0058
1510.06699_FO005931.000\mathcal{R}+\mathcal{R}^{2}1510.06699_FO0059
1510.06699_FO006030.970\mathcal{R}^{2}+\mathcal{T}^{2}1510.06699_FO0060
1510.06699_FO006130.986\mathcal{R}+\mathcal{R}^{2}+\mathcal{T}^{2}1510.06699_FO0061
1510.06699_FO006231.000\mathcal{R}1510.06699_FO0062
1510.06699_FO006331.000\mathcal{T}^{2}1510.06699_FO0063
1510.06699_FO006431.000\mathcal{R}^{2}1510.06699_FO0064
1510.06699_FO006531.000{ }^{\underline{25}}1510.06699_FO0065
1510.06699_FO006630.881{ }^{\underline{26}}1510.06699_FO0066
1510.06699_FO006730.995a, \alpha_{i}1510.06699_FO0067
1510.06699_FO006830.924{ }^{\underline{27}}1510.06699_FO0068
1510.06699_FO006941.000h_{a}^{\mu}1510.06699_FO0069
1510.06699_FO007041.000L_{\mathrm{G}}^{(2)}1510.06699_FO0070
1510.06699_FO007141.000k1510.06699_FO0071
1510.06699_FO007241.000J^{P}1510.06699_FO0072
1510.06699_FO007341.000k^{a}1510.06699_FO0073
1510.06699_FO007440.998J^{P}=2^{+}1510.06699_FO0074
1510.06699_FO007541.000J^{P}=2^{ \pm}, 1^{ \pm}, 0^{ \pm}1510.06699_FO0075
1510.06699_FO007641.0002(5+3+1)=181510.06699_FO0076
1510.06699_FO007741.000S1510.06699_FO0077
1510.06699_FO007841.000k^{2}1510.06699_FO0078
1510.06699_FO007941.000-R /\left(k^{2}-m^{2}\right)1510.06699_FO0079
1510.06699_FO008041.000R>01510.06699_FO0080
1510.06699_FO008141.000m^{2} \geq 01510.06699_FO0081
1510.06699_FO008241.000{ }^{18,33}1510.06699_FO0082
1510.06699_FO008341.000J^{P}=1^{-}1510.06699_FO0083
1510.06699_FO008441.000\sim 1 / k^{4}1510.06699_FO0084
1510.06699_FO008541.000\sim 1 / k^{2}1510.06699_FO0085
1510.06699_FO008641.000{ }^{29,31,35}1510.06699_FO0086
1510.06699_FO008741.0001 / k^{4}1510.06699_FO0087
1510.06699_FO008841.000\left(k^{2}-m_{1}^{2}\right)^{-1}\left(k^{2}-m_{2}^{2}\right)^{-1}=1510.06699_FO0088
1510.06699_FO008941.000\left(m_{2}^{2}-m_{1}^{2}\right)^{-1}\left[\left(k^{2}-m_{2}^{2}\right)^{-1}-\left(k^{2}-m_{1}^{2}\right)^{-1}\right]1510.06699_FO0089
1510.06699_FO009041.000{ }^{6,39}1510.06699_FO0090
1510.06699_FO009140.945{ }^{40,41}1510.06699_FO0091
1510.06699_FO009240.991{ }^{\underline{31,43}}1510.06699_FO0092
1510.06699_FO009340.566{ }^{44-46}1510.06699_FO0093
1510.06699_FO009441.000m^{2} \neq 01510.06699_FO0094
1510.06699_FO009540.838\mathrm{C}(1,3)^{\underline{48}-50}1510.06699_FO0095
1510.06699_FO009651.000S_{\mathrm{M}}=\int L_{\mathrm{M}}\left(\varphi, \partial_{\mu} \varphi\right) d^{4} x1510.06699_FO0096
1510.06699_FO009751.000B_{\mu}1510.06699_FO0097
1510.06699_FO009850.870{ }^{51-53}1510.06699_FO0098
1510.06699_FO009951.000h_{a}{ }^{\mu}, A^{a b}{ }_{\mu}1510.06699_FO0099
1510.06699_FO010050.991\mathcal{D}_{a}^{*} \varphi1510.06699_FO0100
1510.06699_FO010151.000S_{\mathrm{M}}=\int h^{-1} L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a}^{*} \varphi\right) d^{4} x1510.06699_FO0101
1510.06699_FO010251.000L_{\mathrm{M}}1510.06699_FO0102
1510.06699_FO010351.000h^{-1}1510.06699_FO0103
1510.06699_FO010450.788w\left(h^{-1}\right)=41510.06699_FO0104
1510.06699_FO010551.000w\left(L_{\mathrm{G}}\right)=-41510.06699_FO0105
1510.06699_FO010651.000\left[\mathcal{D}_{a}^{*}, \mathcal{D}_{b}^{*}\right] \varphi1510.06699_FO0106
1510.06699_FO010751.000\mathcal{T}^{* a}{ }_{b c}(h, \partial h, A, B)1510.06699_FO0107
1510.06699_FO010851.000\mathcal{H}_{a b}(h, \partial B)1510.06699_FO0108
1510.06699_FO010951.000S_{\mathrm{G}}=1510.06699_FO0109
1510.06699_FO011050.999\int h^{-1} L_{\mathrm{G}}\left(\mathcal{R}^{a b}{ }_{c d}, \mathcal{T}^{* a}{ }_{b c}, \mathcal{H}_{a b}\right) d^{4} x1510.06699_FO0110
1510.06699_FO011151.000\zeta^{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta B_{\mu}1510.06699_FO0111
1510.06699_FO011251.000w\left(\mathcal{R}^{a b}{ }_{c d}\right)=w\left(\mathcal{H}_{a b}\right)=-21510.06699_FO0112
1510.06699_FO011351.000w\left(\mathcal{T}^{* a}{ }_{b c}\right)=-11510.06699_FO0113
1510.06699_FO011451.000\mathcal{H}_{a b}1510.06699_FO0114
1510.06699_FO011551.000\mathcal{T}^{* a}{ }_{b c}1510.06699_FO0115
1510.06699_FO011651.000\mathcal{R}^{2}+\mathcal{H}^{2}1510.06699_FO0116
1510.06699_FO011751.000\xi1510.06699_FO0117
1510.06699_FO011851.000\mathcal{T}^{* 2}1510.06699_FO0118
1510.06699_FO011951.000w=-41510.06699_FO0119
1510.06699_FO012050.999\phi1510.06699_FO0120
1510.06699_FO012150.999w(\phi)=-11510.06699_FO0121
1510.06699_FO012250.785(\mathrm{s}){ }^{\underline{10}}1510.06699_FO0122
1510.06699_FO012350.803\phi^{2} \mathcal{R}1510.06699_FO0123
1510.06699_FO012450.803\phi^{2} L_{\mathcal{T}^{* 2}}1510.06699_FO0124
1510.06699_FO012551.000{ }^{54,55}1510.06699_FO0125
1510.06699_FO012650.999\phi^{2} L_{\mathcal{T} * 2}1510.06699_FO0126
1510.06699_FO012750.969{ }^{56,57}1510.06699_FO0127
1510.06699_FO012851.000\psi1510.06699_FO0128
1510.06699_FO012951.000w(\psi)=w(\bar{\psi})=-\frac{3}{2}1510.06699_FO0129
1510.06699_FO013051.000m \bar{\psi} \psi1510.06699_FO0130
1510.06699_FO013150.983{ }^{10} \zeta^{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta B_{\mu}1510.06699_FO0131
1510.06699_FO013261.000m \bar{\psi} \psi \rightarrow \mu \phi \bar{\psi} \psi1510.06699_FO0132
1510.06699_FO013361.000\mu1510.06699_FO0133
1510.06699_FO013461.000\mu \phi1510.06699_FO0134
1510.06699_FO013561.000G1510.06699_FO0135
1510.06699_FO013661.000\phi=\phi_{0}1510.06699_FO0136
1510.06699_FO013761.000m=\mu \phi_{0}1510.06699_FO0137
1510.06699_FO013861.000w1510.06699_FO0138
1510.06699_FO013961.000\mathcal{R}_{a b c d}1510.06699_FO0139
1510.06699_FO014061.000\mathcal{T}_{a b c}1510.06699_FO0140
1510.06699_FO014160.617{ }^{59-62,89}1510.06699_FO0141
1510.06699_FO014261.000Y_{4}1510.06699_FO0142
1510.06699_FO014371.000\widehat{Y}_{4}1510.06699_FO0143
1510.06699_FO014471.000\mathcal{M}1510.06699_FO0144
1510.06699_FO014571.000x^{\mu}1510.06699_FO0145
1510.06699_FO014671.000\varphi(x)1510.06699_FO0146
1510.06699_FO014770.959\boldsymbol{e}_{\mu}1510.06699_FO0147
1510.06699_FO014870.997\boldsymbol{e}_{\mu} \cdot \boldsymbol{e}_{\nu}=\eta_{\mu \nu}1510.06699_FO0148
1510.06699_FO014971.000\eta_{\mu \nu}=\operatorname{diag}(1,-1,-1,-1)1510.06699_FO0149
1510.06699_FO015071.000\hat{\boldsymbol{e}}_{a}(x)1510.06699_FO0150
1510.06699_FO015171.000\hat{\boldsymbol{e}}_{a} \cdot \hat{\boldsymbol{e}}_{b}=\eta_{a b}1510.06699_FO0151
1510.06699_FO015271.000\boldsymbol{e}_{\mu}(x)1510.06699_FO0152
1510.06699_FO015371.000\hat{\boldsymbol{e}}_{a}=\delta_{a}^{\mu} \boldsymbol{e}_{\mu}1510.06699_FO0153
1510.06699_FO015471.000\operatorname{SO}(3,1)1510.06699_FO0154
1510.06699_FO015571.000\operatorname{SL}(2, C)1510.06699_FO0155
1510.06699_FO015671.000\left\{\varphi^{a}(x)\right\}1510.06699_FO0156
1510.06699_FO015780.999\mathrm{S}(\Lambda)1510.06699_FO0157
1510.06699_FO015881.000\Lambda^{\mu}{ }_{\nu}=\delta_{\nu}^{\mu}1510.06699_FO0158
1510.06699_FO015981.000a^{\mu}=01510.06699_FO0159
1510.06699_FO016081.000e^{\rho}1510.06699_FO0160
1510.06699_FO016180.999d s^{2}=\eta_{\mu \nu} d x^{\mu} d x^{\nu}1510.06699_FO0161
1510.06699_FO016281.000\eta_{\mu \nu} \rightarrow \gamma_{\mu \nu}=e^{2 \rho} \eta_{\mu \nu}1510.06699_FO0162
1510.06699_FO016381.000w=21510.06699_FO0163
1510.06699_FO016481.000x^{\prime \mu}=e^{\rho} x^{\mu}1510.06699_FO0164
1510.06699_FO016581.000\gamma_{\mu \nu}^{\prime}=e^{-2 \rho} \gamma_{\mu \nu}=\eta_{\mu \nu}1510.06699_FO0165
1510.06699_FO016681.000e^{4 \rho}1510.06699_FO0166
1510.06699_FO016781.000m1510.06699_FO0167
1510.06699_FO016881.000m=01510.06699_FO0168
1510.06699_FO016981.000\bar{\psi} \psi1510.06699_FO0169
1510.06699_FO017081.000A_{\mu}1510.06699_FO0170
1510.06699_FO017181.000F_{\mu \nu} \equiv \partial_{\mu} A_{\nu}-\partial_{\nu} A_{\mu}1510.06699_FO0171
1510.06699_FO017281.000J^{\mu}1510.06699_FO0172
1510.06699_FO017381.000w_{J}1510.06699_FO0173
1510.06699_FO017481.000J_{\mu}1510.06699_FO0174
1510.06699_FO017581.000w\left(A_{\mu}\right)=-11510.06699_FO0175
1510.06699_FO017681.000w\left(J_{\mu}\right)=-31510.06699_FO0176
1510.06699_FO017781.000J^{\mu} \equiv \bar{\psi} \gamma^{\mu} \psi1510.06699_FO0177
1510.06699_FO017891.000a^{\mu}1510.06699_FO0178
1510.06699_FO017991.000\rho1510.06699_FO0179
1510.06699_FO018091.000x1510.06699_FO0180
1510.06699_FO018191.000x^{\prime}1510.06699_FO0181
1510.06699_FO018291.000\Lambda(x)1510.06699_FO0182
1510.06699_FO018390.997\rho(x)1510.06699_FO0183
1510.06699_FO018491.000\Lambda^{a}{ }_{b}(x)1510.06699_FO0184
1510.06699_FO018591.000\partial_{\mu} \varphi1510.06699_FO0185
1510.06699_FO018691.000\eta_{a b}=\eta^{a b}=\operatorname{diag}(1,-1,-1,-1)1510.06699_FO0186
1510.06699_FO018791.000\gamma_{\mu \nu}=\boldsymbol{e}_{\mu} \cdot \boldsymbol{e}_{\nu}1510.06699_FO0187
1510.06699_FO018891.000\gamma^{\mu \nu}1510.06699_FO0188
1510.06699_FO018991.000\hat{\boldsymbol{e}}^{a}=\eta^{a b} \hat{\boldsymbol{e}}_{b}1510.06699_FO0189
1510.06699_FO019091.000\boldsymbol{e}^{\mu}=\gamma^{\mu \nu} \boldsymbol{e}_{\nu}1510.06699_FO0190
1510.06699_FO019191.000\gamma_{\mu \nu}1510.06699_FO0191
1510.06699_FO019291.000(\Lambda, \rho)1510.06699_FO0192
1510.06699_FO019391.000D_{\mu} \varphi(x)1510.06699_FO0193
1510.06699_FO019491.000A^{a b}{ }_{\mu}(x)1510.06699_FO0194
1510.06699_FO019591.000B_{\mu}(x)1510.06699_FO0195
1510.06699_FO019691.000\Sigma_{a b}=-\Sigma_{a b}1510.06699_FO0196
1510.06699_FO019790.483(2, C)1510.06699_FO0197
1510.06699_FO019890.483(\Lambda)1510.06699_FO0198
1510.06699_FO019991.000\Sigma_{a b}1510.06699_FO0199
1510.06699_FO020091.000A^{a b}{ }_{\mu}=1510.06699_FO0200
1510.06699_FO020190.890-A^{b a}{ }_{\mu}1510.06699_FO0201
1510.06699_FO020290.890B1510.06699_FO0202
1510.06699_FO020391.000w=01510.06699_FO0203
1510.06699_FO0204101.000\partial_{\mu}^{*} \varphi(x)1510.06699_FO0204
1510.06699_FO0205100.999D_{\mu}^{*} \varphi1510.06699_FO0205
1510.06699_FO0206101.000h_{a}{ }^{\mu}(x)1510.06699_FO0206
1510.06699_FO0207101.000w=-11510.06699_FO0207
1510.06699_FO0208101.000b^{a}{ }_{\mu}(x)1510.06699_FO0208
1510.06699_FO0209101.000w=11510.06699_FO0209
1510.06699_FO0210101.000\partial \varphi1510.06699_FO0210
1510.06699_FO0211101.000x \rightarrow x^{\prime}1510.06699_FO0211
1510.06699_FO0212100.997L_{\mathrm{M}}\left(\varphi ; \mathcal{D}^{*} \varphi\right)1510.06699_FO0212
1510.06699_FO0213101.000w=41510.06699_FO0213
1510.06699_FO0214101.000\mathcal{L}_{\mathrm{M}} \equiv h^{-1} L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a}^{*} \varphi\right)1510.06699_FO0214
1510.06699_FO0215100.999h, A1510.06699_FO0215
1510.06699_FO0216100.613L_{\mathcal{T} * 2}1510.06699_FO0216
1510.06699_FO0217100.999D_{\mu}^{*}1510.06699_FO0217
1510.06699_FO0218101.000\left(\Sigma_{c d}^{1}\right)^{a}{ }_{b}=\left(\delta_{c}^{a} \eta_{d b}-\delta_{d}^{a} \eta_{c b}\right)1510.06699_FO0218
1510.06699_FO0219100.509C1510.06699_FO0219
1510.06699_FO0220111.000{ }^{0} \nabla_{\mu}^{*} \equiv{ }^{0} \nabla_{\mu}+w B_{\mu},{ }^{0} \Gamma^{\lambda}{ }_{\mu \nu} \equiv \frac{1}{2} \gamma^{\lambda \rho}\left(\partial_{\mu} \gamma_{\nu \rho}+\partial_{\nu} \gamma_{\mu \rho}-\right.1510.06699_FO0220
1510.06699_FO0221110.709\partial_{\rho} \gamma_{\mu \nu}1510.06699_FO0221
1510.06699_FO0222110.991\mathrm{X}^{\rho}{ }_{\sigma}1510.06699_FO0222
1510.06699_FO0223110.991\operatorname{GL}(4, R)1510.06699_FO0223
1510.06699_FO0224111.000{ }^{0} \Gamma^{\sigma}{ }_{\rho \mu}1510.06699_FO0224
1510.06699_FO0225111.000{ }^{0} \nabla_{\mu}1510.06699_FO0225
1510.06699_FO0226111.000{ }^{0} \nabla_{\nu}1510.06699_FO0226
1510.06699_FO0227111.000\boldsymbol{h}1510.06699_FO0227
1510.06699_FO0228111.000h_{a}{ }^{\mu} \equiv \boldsymbol{h}\left(\hat{\boldsymbol{e}}_{a}, \boldsymbol{e}^{\mu}\right)1510.06699_FO0228
1510.06699_FO0229111.000\boldsymbol{b}1510.06699_FO0229
1510.06699_FO0230111.000b^{a}{ }_{\mu} \equiv \boldsymbol{b}\left(\hat{\boldsymbol{e}}^{a}, \boldsymbol{e}_{\mu}\right)1510.06699_FO0230
1510.06699_FO0231111.000\boldsymbol{J}1510.06699_FO0231
1510.06699_FO0232111.000\boldsymbol{J}=J^{\mu} \boldsymbol{e}_{\mu}=J_{\mu} \boldsymbol{e}^{\mu}1510.06699_FO0232
1510.06699_FO0233111.000\mathcal{J}_{a} \equiv h_{a}{ }^{\mu} J_{\mu}=h_{a \mu} J^{\mu}1510.06699_FO0233
1510.06699_FO0234111.000\mathcal{J}^{a} \equiv h^{a}{ }_{\mu} J^{\mu}=h^{a \mu} J_{\mu}1510.06699_FO0234
1510.06699_FO0235110.967\mathcal{J}=\boldsymbol{h}(\cdot, \boldsymbol{J})^{67}1510.06699_FO0235
1510.06699_FO0236110.820\boldsymbol{h}(\mathcal{J}, \cdot)1510.06699_FO0236
1510.06699_FO0237111.000h_{a}{ }^{\mu} \mathcal{J}^{a}1510.06699_FO0237
1510.06699_FO0238111.000\mathcal{J}1510.06699_FO0238
1510.06699_FO0239110.690\boldsymbol{J}=\boldsymbol{b}(\boldsymbol{\mathcal { J }}, \cdot)1510.06699_FO0239
1510.06699_FO0240111.000b^{a}{ }_{\mu} \mathcal{J}_{a}=J_{\mu}1510.06699_FO0240
1510.06699_FO0241111.000J_{\mu}=b_{a \mu} \mathcal{J}^{a}1510.06699_FO0241
1510.06699_FO0242111.000J^{\mu}=b_{a}{ }^{\mu} \mathcal{J}^{a}=b^{a \mu} \mathcal{J}_{a}1510.06699_FO0242
1510.06699_FO0243111.000\boldsymbol{b}(\cdot, \boldsymbol{J})1510.06699_FO0243
1510.06699_FO0244111.000b^{a}{ }_{\mu} J^{\mu}1510.06699_FO0244
1510.06699_FO0245111.000\mathcal{J}^{a}1510.06699_FO0245
1510.06699_FO0246110.999\boldsymbol{T}1510.06699_FO0246
1510.06699_FO0247110.968\mathcal{T}1510.06699_FO0247
1510.06699_FO0248111.000\mathcal{T}_{a b}=1510.06699_FO0248
1510.06699_FO0249111.000h_{a}{ }^{\mu} h_{b}{ }^{\nu} T_{\mu \nu}1510.06699_FO0249
1510.06699_FO0250111.000T_{\mu \nu}=b^{a}{ }_{\mu} b^{b}{ }_{\nu} \mathcal{T}_{a b}1510.06699_FO0250
1510.06699_FO0251110.999\hat{\boldsymbol{e}}_{a}1510.06699_FO0251
1510.06699_FO0252110.999h_{a}{ }^{\mu} J_{\mu}1510.06699_FO0252
1510.06699_FO0253111.000J_{a}1510.06699_FO0253
1510.06699_FO0254121.000R^{a b}{ }_{\mu \nu}1510.06699_FO0254
1510.06699_FO0255121.000H_{\mu \nu}1510.06699_FO0255
1510.06699_FO0256121.000\mathcal{D}_{a}^{*} \varphi=1510.06699_FO0256
1510.06699_FO0257121.000h_{a}{ }^{\mu} D_{\mu}^{*} \varphi1510.06699_FO0257
1510.06699_FO0258121.000\mathcal{R}^{a b}{ }_{c d} \equiv h_{a}{ }^{\mu} h_{b}{ }^{\nu} R^{a b}{ }_{\mu \nu}1510.06699_FO0258
1510.06699_FO0259121.000\mathcal{H}_{c d}=h_{c}{ }^{\mu} h_{d}{ }^{\nu} H_{\mu \nu}1510.06699_FO0259
1510.06699_FO0260120.669\mathcal{B}_{a}=h_{a}{ }^{\mu} B_{\mu}1510.06699_FO0260
1510.06699_FO0261120.669\mathcal{T}_{b}^{*} \equiv1510.06699_FO0261
1510.06699_FO0262121.000\mathcal{T}^{* a}{ }_{b a}=\mathcal{T}_{b}+3 \mathcal{B}_{b}1510.06699_FO0262
1510.06699_FO0263121.000\mathcal{T}_{b}1510.06699_FO0263
1510.06699_FO0264121.000\mathcal{R}^{a b}{ }_{c d}, \mathcal{H}_{c d}1510.06699_FO0264
1510.06699_FO0265121.000\mathcal{T}^{* a}{ }_{c d}1510.06699_FO0265
1510.06699_FO0266121.000w\left(\mathcal{R}^{a b}{ }_{c d}\right)=w\left(\mathcal{H}_{c d}\right)=-21510.06699_FO0266
1510.06699_FO0267121.000w\left(\mathcal{T}^{* a}{ }_{c d}\right)=-11510.06699_FO0267
1510.06699_FO0268121.000\mathcal{R}^{a b}{ }_{c d}, \mathcal{H}_{a b}1510.06699_FO0268
1510.06699_FO0269121.000A_{a b \mu}=1510.06699_FO0269
1510.06699_FO0270121.000b^{c}{ }_{\mu} \mathcal{A}_{a b c}1510.06699_FO0270
1510.06699_FO0271121.000\mathcal{T}_{a b c}^{*}1510.06699_FO0271
1510.06699_FO0272121.000\mathcal{A}_{a b c}1510.06699_FO0272
1510.06699_FO0273121.000{ }^{0} \mathcal{A}_{a b c}^{*} \equiv \frac{1}{2}\left(c_{a b c}^{*}+\right.1510.06699_FO0273
1510.06699_FO0274120.506\left.c_{b c a}^{*}-c_{c a b}^{*}\right)1510.06699_FO0274
1510.06699_FO0275121.000\mathcal{K}_{a b c}^{*} \equiv-\frac{1}{2}\left(\mathcal{T}_{a b c}^{*}+\mathcal{T}_{b c a}^{*}-\mathcal{T}_{c a b}^{*}\right)1510.06699_FO0275
1510.06699_FO0276120.982{ }^{0} \mathcal{A}_{a b c}^{*}1510.06699_FO0276
1510.06699_FO0277120.982\mathcal{K}_{a b c}^{*}1510.06699_FO0277
1510.06699_FO0278120.991\mathcal{A}_{a b c}^{*}1510.06699_FO0278
1510.06699_FO0279120.961{ }^{0} \mathcal{D}_{a}^{*} \equiv h_{a}{ }^{\mu}{ }^{0} D_{\mu}^{*}1510.06699_FO0279
1510.06699_FO0280121.000\mathcal{D}_{a}^{*}1510.06699_FO0280
1510.06699_FO0281121.000{ }^{0} \mathcal{D}_{a}^{*}1510.06699_FO0281
1510.06699_FO0282121.000\mathcal{R}^{a b}{ }_{c d}, \mathcal{T}^{* a}{ }_{b c}1510.06699_FO0282
1510.06699_FO0283130.947\mathcal{T}_{a b c}^{*}=1510.06699_FO0283
1510.06699_FO0284130.990\epsilon_{a b c d} t^{d}1510.06699_FO0284
1510.06699_FO0285130.990t^{d}1510.06699_FO0285
1510.06699_FO0286130.999d1510.06699_FO0286
1510.06699_FO0287131.000b1510.06699_FO0287
1510.06699_FO0288131.000e1510.06699_FO0288
1510.06699_FO0289130.770\mathcal{T}_{a}^{*}1510.06699_FO0289
1510.06699_FO0290131.000\mathcal{H}1510.06699_FO0290
1510.06699_FO0291131.000\mathcal{R}_{a b c d}, \mathcal{T}_{a b c}^{*}1510.06699_FO0291
1510.06699_FO0292131.000\mathcal{L}_{\mathrm{G}} \equiv h^{-1} L_{\mathrm{G}}1510.06699_FO0292
1510.06699_FO0293131.000\mathcal{R}_{a b c d}, \mathcal{H}_{a b}1510.06699_FO0293
1510.06699_FO0294131.000w\left(\mathcal{R}_{a b c d}\right)=w\left(\mathcal{H}_{a b}\right)=-21510.06699_FO0294
1510.06699_FO0295131.000w\left(\mathcal{T}_{a b c}^{*}\right)=-11510.06699_FO0295
1510.06699_FO0296130.988{ }^{\underline{70}}1510.06699_FO0296
1510.06699_FO0297130.994L_{\mathcal{H}^{2}}1510.06699_FO0297
1510.06699_FO0298131.000D \leq 41510.06699_FO0298
1510.06699_FO0299130.994\mathcal{T}_{a b c} \rightarrow \mathcal{T}_{a b c}^{*}1510.06699_FO0299
1510.06699_FO0300131.000\mathcal{L}_{\mathrm{G}}1510.06699_FO0300
1510.06699_FO0301131.000L_{\mathrm{G}}=L_{\mathcal{H}^{2}}1510.06699_FO0301
1510.06699_FO0302131.000S_{\mathrm{T}}1510.06699_FO0302
1510.06699_FO0303131.000h, A, \partial A1510.06699_FO0303
1510.06699_FO0304131.000\partial B1510.06699_FO0304
1510.06699_FO0305131.000\varphi, \partial \varphi, h, A1510.06699_FO0305
1510.06699_FO0306131.000\partial A1510.06699_FO0306
1510.06699_FO0307130.901\phi^{2} L_{\mathcal{\mathcal { T } _ { * 2 }}}1510.06699_FO0307
1510.06699_FO0308131.000\partial h1510.06699_FO0308
1510.06699_FO0309141.000\mathcal{L}_{\mathrm{T}}1510.06699_FO0309
1510.06699_FO0310141.000\mathcal{R}_{a b c d}(h, A, \partial A), \mathcal{T}_{a b c}^{*}(h, \partial h, A, B)1510.06699_FO0310
1510.06699_FO0311141.000t^{a}{ }_{\mu} \equiv1510.06699_FO0311
1510.06699_FO0312140.999\delta \mathcal{L}_{\mathrm{G}} / \delta h_{a}{ }^{\mu}=\partial \mathcal{L}_{\mathrm{G}} / \partial h_{a}{ }^{\mu}, s_{a b}{ }^{\mu} \equiv \delta \mathcal{L}_{\mathrm{G}} / \delta A^{a b}{ }_{\mu}1510.06699_FO0312
1510.06699_FO0313141.000j^{\mu} \equiv \delta \mathcal{L}_{\mathrm{G}} / \delta B_{\mu}1510.06699_FO0313
1510.06699_FO0314141.000\tau^{a}{ }_{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta h_{a}{ }^{\mu}1510.06699_FO0314
1510.06699_FO0315140.692\zeta^{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta B_{\mu}=\partial \mathcal{L}_{\mathrm{M}} / \partial B_{\mu}1510.06699_FO0315
1510.06699_FO0316140.692{ }^{\underline{72}}1510.06699_FO0316
1510.06699_FO0317141.000w=1, w=01510.06699_FO0317
1510.06699_FO0318141.000t^{a}{ }_{b} \equiv t^{a}{ }_{\mu} h_{b}{ }^{\mu}, s_{a b}{ }^{c} \equiv s_{a b}{ }^{\mu} b^{c}{ }_{\mu}1510.06699_FO0318
1510.06699_FO0319141.000j^{a} \equiv j^{\mu} b^{a}{ }_{\mu}1510.06699_FO0319
1510.06699_FO0320140.992\bar{\partial} \mathcal{L}_{\mathrm{M}} / \partial \varphi \equiv\left[\partial \mathcal{L}_{\mathrm{M}}\left(\varphi, \mathcal{D}_{\mu}^{*} u, \ldots\right) / \partial \varphi\right]_{u=\varphi}1510.06699_FO0320
1510.06699_FO0321141.000\mathcal{D}_{\mu}^{*} \varphi1510.06699_FO0321
1510.06699_FO0322141.000\mathcal{L}_{\mathrm{M}}=h^{-1} L_{\mathrm{M}}1510.06699_FO0322
1510.06699_FO0323141.000\bar{\partial} L_{\mathrm{M}} / \partial \varphi \equiv1510.06699_FO0323
1510.06699_FO0324140.974\left[\partial L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a}^{*} u, \ldots\right) / \partial \varphi\right]_{u=\varphi}1510.06699_FO0324
1510.06699_FO0325141.000S_{\mathrm{M}}1510.06699_FO0325
1510.06699_FO0326140.999{ }^{9,74}1510.06699_FO0326
1510.06699_FO0327140.9632, C1510.06699_FO0327
1510.06699_FO0329151.000w=-\frac{3}{2}1510.06699_FO0329
1510.06699_FO0330151.000\psi \rightarrow \psi e^{i \alpha}1510.06699_FO0330
1510.06699_FO0331151.000\gamma1510.06699_FO0331
1510.06699_FO0332151.000\bar{\psi}1510.06699_FO0332
1510.06699_FO0333151.000\mathcal{D}_{a}1510.06699_FO0333
1510.06699_FO0334151.000\mathcal{D}_{a}^{*} \psi1510.06699_FO0334
1510.06699_FO0335151.000w=-\frac{5}{2}1510.06699_FO0335
1510.06699_FO0336151.000\mathcal{D}_{a} \psi=\mathcal{D}_{a}^{*} \psi+\frac{3}{2} \mathcal{B}_{a} \psi1510.06699_FO0336
1510.06699_FO0337151.000\mathcal{T}_{a}=1510.06699_FO0337
1510.06699_FO0338151.000\mathcal{T}_{a}^{*}-3 \mathcal{B}_{a}1510.06699_FO0338
1510.06699_FO0339161.000\mathcal{T}_{a}1510.06699_FO0339
1510.06699_FO0340161.000\Sigma_{a b}=\frac{1}{4}\left[\gamma_{a}, \gamma_{b}\right]1510.06699_FO0340
1510.06699_FO0341160.945\mathcal{T}_{[a b c]}^{*}=01510.06699_FO0341
1510.06699_FO0342161.000\tau=h^{-1} \mu \phi \bar{\psi} \psi1510.06699_FO0342
1510.06699_FO0343161.000\sigma_{a b c}=\sigma_{[a b c]}1510.06699_FO0343
1510.06699_FO0344161.000\mathcal{D}_{a} \rightarrow \mathcal{D}_{a}^{*}1510.06699_FO0344
1510.06699_FO0345161.000\mu, \nu, \lambda1510.06699_FO0345
1510.06699_FO0346160.669\beta_{1}, \beta_{2}1510.06699_FO0346
1510.06699_FO0347160.669\beta_{3}1510.06699_FO0347
1510.06699_FO0348161.000F_{\mu \nu} \equiv1510.06699_FO0348
1510.06699_FO0349161.000\partial_{\mu} A_{\nu}-\partial_{\nu} A_{\mu}1510.06699_FO0349
1510.06699_FO0350161.000A_{\mu} \rightarrow A_{\mu}+\partial_{\mu} \chi1510.06699_FO0350
1510.06699_FO0351161.000\chi1510.06699_FO0351
1510.06699_FO0352161.000\partial_{\mu} J^{\mu}=01510.06699_FO0352
1510.06699_FO0353161.000\mathcal{A}_{a}=h_{a}{ }^{\mu} A_{\mu}1510.06699_FO0353
1510.06699_FO0354161.000\mathcal{J}_{a}=h_{a}{ }^{\mu} J_{\mu}1510.06699_FO0354
1510.06699_FO0355161.000w\left(\mathcal{A}_{a}\right)=-11510.06699_FO0355
1510.06699_FO0356161.000w\left(\mathcal{J}_{a}\right)=-31510.06699_FO0356
1510.06699_FO0357161.000w\left(A_{\mu}\right)=01510.06699_FO0357
1510.06699_FO0358161.000w\left(J_{\mu}\right)=-21510.06699_FO0358
1510.06699_FO0359161.000\widehat{\mathcal{F}}_{a b}^{*} \equiv \mathcal{D}_{a}^{*} \mathcal{A}_{b}-\mathcal{D}_{b}^{*} \mathcal{A}_{a}1510.06699_FO0359
1510.06699_FO0360161.000w\left(\widehat{\mathcal{F}}_{a b}^{*}\right)=-2, \mathcal{L}_{\mathrm{M}}1510.06699_FO0360
1510.06699_FO0361171.000\mathcal{F}_{a b} \equiv h_{a}{ }^{\mu} h_{b}{ }^{\nu} F_{\mu \nu}1510.06699_FO0361
1510.06699_FO0362171.000F_{\mu \nu} \equiv D_{\mu}^{*} A_{\nu}-D_{\nu}^{*} A_{\mu}=\partial_{\mu} A_{\nu}-\partial_{\nu} A_{\mu}1510.06699_FO0362
1510.06699_FO0363171.000\mathcal{T}^{* c}{ }_{a b}1510.06699_FO0363
1510.06699_FO0364171.000\mathcal{F}_{a b}1510.06699_FO0364
1510.06699_FO0365171.000F_{\mu \nu}1510.06699_FO0365
1510.06699_FO0366171.000\widehat{\mathcal{F}}_{a b}^{*}1510.06699_FO0366
1510.06699_FO0367171.000w\left(\mathcal{F}_{a b}\right)=-21510.06699_FO0367
1510.06699_FO0368171.000\mathcal{L}_{\mathrm{M}}1510.06699_FO0368
1510.06699_FO0369170.999\delta \mathcal{L}_{\mathrm{EM}} / \delta A_{\mu}=01510.06699_FO0369
1510.06699_FO0370170.997\delta \mathcal{L}_{\mathrm{EM}} / \delta \mathcal{A}_{a}=01510.06699_FO0370
1510.06699_FO0371171.000\mathcal{D}_{a} \mathcal{F}^{a c}=\left(\mathcal{D}_{a}^{*}+\right.1510.06699_FO0371
1510.06699_FO0372171.000\left.2 \mathcal{B}_{a}\right) \mathcal{F}^{a c}1510.06699_FO0372
1510.06699_FO0373171.000\mathcal{T}_{a}=\mathcal{T}^{*}{ }_{a}-3 \mathcal{B}_{a}1510.06699_FO0373
1510.06699_FO0374171.000\mathcal{J}^{a}=01510.06699_FO0374
1510.06699_FO0375171.000\sigma_{a b}{ }^{c}=01510.06699_FO0375
1510.06699_FO0376171.000\tau^{a}{ }_{b}1510.06699_FO0376
1510.06699_FO0377171.000\tau_{a b}1510.06699_FO0377
1510.06699_FO0378171.000\mathcal{J}^{a}=q \bar{\psi} \gamma^{a} \psi1510.06699_FO0378
1510.06699_FO0379171.000w\left(\mathcal{J}^{a}\right)=-31510.06699_FO0379
1510.06699_FO0380171.000\phi \neq 01510.06699_FO0380
1510.06699_FO0381171.000\phi(x)=11510.06699_FO0381
1510.06699_FO0382171.000\phi(x)=\phi_{0}1510.06699_FO0382
1510.06699_FO0383171.000\phi_{0}1510.06699_FO0383
1510.06699_FO0385181.000\widehat{\mathcal{A}}^{a b}{ }_{c} \equiv \widehat{h}_{a}{ }^{\mu} \widehat{A}^{a b}{ }_{\mu}1510.06699_FO0385
1510.06699_FO0386181.000\widehat{\mathcal{B}}_{a} \equiv \widehat{h}_{a}{ }^{\mu} \widehat{B}_{\mu}1510.06699_FO0386
1510.06699_FO0387181.000\mathcal{D}_{a}^{*} \phi=-\left(\phi^{2} / \phi_{0}\right) \widehat{\mathcal{B}}_{a}1510.06699_FO0387
1510.06699_FO0388181.000\widehat{\chi}=\left(\phi / \phi_{0}\right)^{-w} \chi1510.06699_FO0388
1510.06699_FO0389180.996\widehat{\mathcal{D}}_{a} \equiv \widehat{h}_{a}{ }^{\mu} D_{\mu}1510.06699_FO0389
1510.06699_FO0390180.996\widehat{\mathcal{D}}_{a}^{*}=\widehat{\mathcal{D}}_{a}+w \widehat{\mathcal{B}}_{a}1510.06699_FO0390
1510.06699_FO0391181.000\left(\phi / \phi_{0}\right)^{1-w}1510.06699_FO0391
1510.06699_FO0392181.000\widehat{\mathcal{D}}_{a}^{*} \widehat{\chi}1510.06699_FO0392
1510.06699_FO0393181.000\widehat{\chi}1510.06699_FO0393
1510.06699_FO0394180.999\widehat{h}_{a}{ }^{\mu}, \widehat{A}^{a b}{ }_{\mu}1510.06699_FO0394
1510.06699_FO0395180.999\widehat{B}_{\mu}1510.06699_FO0395
1510.06699_FO0396180.999\mathcal{D}_{a}^{*} \chi1510.06699_FO0396
1510.06699_FO0397180.999\chi, h_{a}{ }^{\mu}1510.06699_FO0397
1510.06699_FO0398181.000\mathcal{R}^{a b}{ }_{c d}=\left(\phi / \phi_{0}\right)^{2} \widehat{\mathcal{R}}^{a b}{ }_{c d}, \mathcal{T}^{* a}{ }_{b c}=\left(\phi / \phi_{0}\right) \widehat{\mathcal{T}}^{* a}{ }_{b c}1510.06699_FO0398
1510.06699_FO0399181.000\mathcal{H}_{a b}=\left(\phi / \phi_{0}\right)^{2} \widehat{\mathcal{H}}_{a b}1510.06699_FO0399
1510.06699_FO0400181.000h^{-1}=\left(\phi / \phi_{0}\right)^{-4} \widehat{h}^{-1}1510.06699_FO0400
1510.06699_FO0401181.000\varphi, h_{a}{ }^{\mu}, A^{a b}{ }_{\mu}1510.06699_FO0401
1510.06699_FO0402181.000\delta \mathcal{L}_{\mathrm{T}} / \delta \widehat{\chi}=01510.06699_FO0402
1510.06699_FO0403181.000\delta \mathcal{L}_{\mathrm{T}} /\left.\delta \chi\right|_{\phi=\phi_{0}}=01510.06699_FO0403
1510.06699_FO0404181.000\delta \mathcal{L}_{\mathrm{T}} / \delta \phi=\delta \mathcal{L}_{\mathrm{M}} / \delta \phi1510.06699_FO0404
1510.06699_FO0405181.000\delta \mathcal{L}_{\mathrm{T}} / \delta \varphi=\delta \mathcal{L}_{\mathrm{M}} / \delta \varphi=01510.06699_FO0405
1510.06699_FO0406181.000\partial \mathcal{L}_{\mathrm{M}} / \partial \widehat{B}_{\mu}1510.06699_FO0406
1510.06699_FO0407181.000\delta \mathcal{L}_{\mathrm{M}} / \delta \widehat{B}_{\mu}1510.06699_FO0407
1510.06699_FO0408191.000m \rightarrow \mu \phi1510.06699_FO0408
1510.06699_FO0409191.000\frac{1}{2}1510.06699_FO0409
1510.06699_FO0410191.000p_{\mu} \rightarrow p_{a} \equiv h_{a}{ }^{\mu} p_{\mu}1510.06699_FO0410
1510.06699_FO0411191.000\dot{x}^{\mu} \rightarrow v^{a} \equiv b^{a}{ }_{\mu} \dot{x}^{\mu}1510.06699_FO0411
1510.06699_FO0412191.000p^{a}(\lambda)1510.06699_FO0412
1510.06699_FO0413191.000v^{a}(\lambda)1510.06699_FO0413
1510.06699_FO0414191.000e(\lambda)1510.06699_FO0414
1510.06699_FO0415191.000\lambda1510.06699_FO0415
1510.06699_FO0416191.000w\left(p^{a}\right)=-1, w\left(v^{a}\right)=0, w(e)=1, w(\lambda)=11510.06699_FO0416
1510.06699_FO0417191.000p^{2} \equiv p_{a} p^{a}1510.06699_FO0417
1510.06699_FO0418191.000c^{c}{ }_{a b}1510.06699_FO0418
1510.06699_FO0419191.000{ }^{0} \mathcal{D}_{c}^{*}1510.06699_FO0419
1510.06699_FO0420191.000e=1 /(\mu \phi)1510.06699_FO0420
1510.06699_FO0421191.000v^{2}=11510.06699_FO0421
1510.06699_FO0422191.000\tau1510.06699_FO0422
1510.06699_FO0423190.348{ }^{\mathbf{7 6 - 7 8}}1510.06699_FO0423
1510.06699_FO0424190.996{ }^{0} A^{a b}{ }_{\mu}1510.06699_FO0424
1510.06699_FO0425190.996{ }^{0} \mathcal{D}_{b}1510.06699_FO0425
1510.06699_FO0426190.906v^{b} \mathcal{D}_{b} v_{a}=01510.06699_FO0426
1510.06699_FO0427191.000{ }^{79,80}1510.06699_FO0427
1510.06699_FO0428191.000\left(q_{\mathrm{W}} / m\right) \mathcal{H}_{a b} v^{b}1510.06699_FO0428
1510.06699_FO0429191.000q_{\mathrm{W}}1510.06699_FO0429
1510.06699_FO0430191.000\mu=01510.06699_FO0430
1510.06699_FO0431191.000e=11510.06699_FO0431
1510.06699_FO0432191.000v^{2}=01510.06699_FO0432
1510.06699_FO0433201.000\widehat{p}_{a}, \widehat{v}^{a}1510.06699_FO0433
1510.06699_FO0434201.000\widehat{e}1510.06699_FO0434
1510.06699_FO0435200.990\widehat{\lambda}1510.06699_FO0435
1510.06699_FO0436200.990\widehat{p}_{a}(\widehat{\lambda}) \equiv \widehat{h}_{a}{ }^{\mu} p_{\mu}(\lambda(\widehat{\lambda}))1510.06699_FO0436
1510.06699_FO0437201.000\widehat{\epsilon}=\left[1-\widehat{\lambda}\left(d x^{\mu} / d \widehat{\lambda}\right) \partial_{\mu} \ln \left(\phi / \phi_{0}\right)\right] \widehat{e}1510.06699_FO0437
1510.06699_FO0438201.000\widehat{\lambda}, \widehat{p}_{a}, \widehat{v}^{a}1510.06699_FO0438
1510.06699_FO0439201.000\widehat{\epsilon}1510.06699_FO0439
1510.06699_FO0440201.000\lambda, p_{a}, v^{a}1510.06699_FO0440
1510.06699_FO0441200.999\widehat{h}_{a}{ }^{\mu}1510.06699_FO0441
1510.06699_FO0442200.999\widehat{b}^{a}{ }_{\mu}1510.06699_FO0442
1510.06699_FO0443201.000{ }^{0} \widehat{\mathcal{D}}_{a} \equiv1510.06699_FO0443
1510.06699_FO0444200.977\widehat{h}_{a}{ }^{\mu 0} \mathcal{D}_{\mu}1510.06699_FO0444
1510.06699_FO0445201.000{ }^{0} D_{\mu}^{*}1510.06699_FO0445
1510.06699_FO0446200.837\mathcal{T}_{a b c}^{*} \equiv 01510.06699_FO0446
1510.06699_FO0447201.000{ }^{0} R^{* a b}{ }_{\mu \nu}\left(h, \partial h, \partial^{2} h, B, \partial B\right)1510.06699_FO0447
1510.06699_FO0448201.000{ }^{0} A^{* a b}{ }_{\mu}1510.06699_FO0448
1510.06699_FO0449200.998{ }^{0} \mathcal{R}^{* a b}{ }_{c d}=h_{c}{ }^{\mu} h_{d}{ }^{\mu}{ }^{0} R^{* a b}{ }_{\mu \nu}1510.06699_FO0449
1510.06699_FO0450201.000{ }^{0} \mathcal{T}^{* a}{ }_{b c} \equiv1510.06699_FO0450
1510.06699_FO0451201.000h_{b}{ }^{\mu} h_{c}{ }^{\nu}\left({ }^{0} D_{\mu}^{*} b^{a}{ }_{\nu}-{ }^{0} D_{\nu}^{*} b^{a}{ }_{\mu}\right)=01510.06699_FO0451
1510.06699_FO0452200.913\mathcal{D}_{a}^{*} \rightarrow^{0} \mathcal{D}_{a}^{*}, \mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{*}1510.06699_FO0452
1510.06699_FO0453200.982\mathcal{T}_{a b c}^{*} \rightarrow{ }^{0} \mathcal{T}_{a b c}^{*} \equiv 01510.06699_FO0453
1510.06699_FO0454201.000{ }^{0} \mathcal{R}^{* a b}{ }_{c d}1510.06699_FO0454
1510.06699_FO0455201.000\mathcal{L}_{\mathrm{G}}=h^{-1} L_{\mathrm{G}}1510.06699_FO0455
1510.06699_FO0456210.516{ }^{0} \mathcal{R}_{\text {abcd }}^{*}1510.06699_FO0456
1510.06699_FO0457210.999\mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{*}1510.06699_FO0457
1510.06699_FO0458210.996\mathcal{D}_{a}^{*} \rightarrow{ }^{0} \mathcal{D}_{a}^{*}1510.06699_FO0458
1510.06699_FO0459210.996\mathcal{T}_{a}^{*} \rightarrow{ }^{0} \mathcal{T}_{a}^{*} \equiv 01510.06699_FO0459
1510.06699_FO0460210.756\mathcal{D}_{a}^{*} \rightarrow^{0} \mathcal{D}_{a}^{*}, \mathcal{T}_{a b c}^{*} \rightarrow{ }^{0} \mathcal{T}_{a b c}^{*} \equiv 01510.06699_FO0460
1510.06699_FO0461211.000s_{a b c} \equiv 0 \equiv \sigma_{a b c}1510.06699_FO0461
1510.06699_FO0462210.975\mathcal{T}_{a b c}^{*}=01510.06699_FO0462
1510.06699_FO0463211.000{ }^{82-84}1510.06699_FO0463
1510.06699_FO0464211.000D=41510.06699_FO0464
1510.06699_FO0465210.741{ }^{\underline{85}}1510.06699_FO0465
1510.06699_FO0466210.968\hat{\boldsymbol{e}}^{a}(x)1510.06699_FO0466
1510.06699_FO0467210.968\boldsymbol{e}^{\mu}(x)1510.06699_FO0467
1510.06699_FO0468210.769J_{\mu} \boldsymbol{e}^{\mu}1510.06699_FO0468
1510.06699_FO0469211.000J_{a}=h_{a}{ }^{\mu} J_{\mu}1510.06699_FO0469
1510.06699_FO0470211.000h_{a}{ }^{\mu} J^{a}=J^{\mu}1510.06699_FO0470
1510.06699_FO0471211.000b^{a}{ }_{\mu} J^{\mu}=J^{a}1510.06699_FO0471
1510.06699_FO0472211.000g_{\mu \nu}1510.06699_FO0472
1510.06699_FO0473211.000h^{-1}=\sqrt{-g}1510.06699_FO0473
1510.06699_FO0474221.000w\left(g_{\mu \nu}\right)=21510.06699_FO0474
1510.06699_FO0475221.000w\left(h_{a}{ }^{\mu}\right)=-11510.06699_FO0475
1510.06699_FO0476221.000w\left(\eta_{a b}\right)=01510.06699_FO0476
1510.06699_FO0477221.000e_{a}{ }^{\mu}1510.06699_FO0477
1510.06699_FO0478221.000e^{a}{ }_{\mu}1510.06699_FO0478
1510.06699_FO0479221.000x+\delta x1510.06699_FO0479
1510.06699_FO0480221.000J^{a}1510.06699_FO0480
1510.06699_FO0481221.000J^{a}(x)1510.06699_FO0481
1510.06699_FO0482221.000J^{a}(x+\delta x)1510.06699_FO0482
1510.06699_FO0483221.000\hat{\boldsymbol{e}}_{a}(x+\delta x)1510.06699_FO0483
1510.06699_FO0484221.000\partial_{\mu}^{*}1510.06699_FO0484
1510.06699_FO0485221.000\eta_{a b}1510.06699_FO0485
1510.06699_FO0486221.000A^{a b}{ }_{\mu}=-A^{b a}{ }_{\mu}1510.06699_FO0486
1510.06699_FO0487220.528\nabla_{\mu}^{*}=\partial_{\mu}^{*}+\Gamma^{\sigma}{ }_{\rho \mu} \mathrm{X}^{\rho}{ }_{\sigma}1510.06699_FO0487
1510.06699_FO0488221.000\Delta_{\mu}^{*}1510.06699_FO0488
1510.06699_FO0489221.000\nabla_{\mu}^{*} \psi=\partial_{\mu}^{*} \psi1510.06699_FO0489
1510.06699_FO0490221.000\Delta_{\mu}^{*} \psi=D_{\mu}^{*} \psi1510.06699_FO0490
1510.06699_FO0491221.000D_{\mu}^{*} \psi=\partial_{\mu}^{*} \psi1510.06699_FO0491
1510.06699_FO0492221.000\Delta_{\mu}^{*} \psi=\nabla_{\mu}^{*} \psi1510.06699_FO0492
1510.06699_FO0493221.000\Gamma^{\sigma}{ }_{\rho \mu}1510.06699_FO0493
1510.06699_FO0494221.000J^{a}+\delta J^{a}1510.06699_FO0494
1510.06699_FO0495221.000\Gamma1510.06699_FO0495
1510.06699_FO0496221.000w\left(\Gamma^{\sigma}{ }_{\nu \mu}\right)=01510.06699_FO0496
1510.06699_FO0497221.000\nabla_{\sigma}^{*} g_{\mu \nu}=01510.06699_FO0497
1510.06699_FO0498221.000T^{* a}{ }_{\mu \nu}1510.06699_FO0498
1510.06699_FO0499221.000R^{\rho}{ }_{\sigma \mu \nu}=e_{a}{ }^{\rho} e^{b}{ }_{\sigma} R^{a}{ }_{b \mu \nu}1510.06699_FO0499
1510.06699_FO0500221.000T^{* \lambda}{ }_{\mu \nu}=e_{a}{ }^{\lambda} T^{* a}{ }_{\mu \nu}1510.06699_FO0500
1510.06699_FO0501221.000T^{* \lambda}{ }_{\mu \nu}1510.06699_FO0501
1510.06699_FO0502221.000R^{\rho}{ }_{\sigma \mu \nu}1510.06699_FO0502
1510.06699_FO0503221.000\widetilde{R}_{\rho \sigma \mu \nu}1510.06699_FO0503
1510.06699_FO0504220.774\mu, \nu1510.06699_FO0504
1510.06699_FO0505220.774\rho, \sigma1510.06699_FO0505
1510.06699_FO0506220.764\widetilde{R}_{(\rho \sigma) \mu \nu}=g_{\rho \sigma} H_{\mu \nu}1510.06699_FO0506
1510.06699_FO0507221.000V_{4}1510.06699_FO0507
1510.06699_FO0508221.000\widetilde{R}^{\rho}{ }_{\sigma \mu \nu}1510.06699_FO0508
1510.06699_FO0509221.000\widetilde{R}_{\mu \nu} \equiv \widetilde{R}_{\mu \lambda \nu}{ }^{\lambda}=R_{\mu \nu}-H_{\mu \nu}1510.06699_FO0509
1510.06699_FO0510221.000\widetilde{R} \equiv \widetilde{R}^{\mu}{ }_{\mu}=R1510.06699_FO0510
1510.06699_FO0511231.000J^{\rho}1510.06699_FO0511
1510.06699_FO0512231.000{ }^{0} \Gamma^{\lambda}{ }_{\mu \nu} \equiv \frac{1}{2} g^{\lambda \rho}\left(\partial_{\mu} g_{\nu \rho}+\partial_{\nu} g_{\mu \rho}-\partial_{\rho} g_{\mu \nu}\right)1510.06699_FO0512
1510.06699_FO0513231.000K^{* \lambda}{ }_{\mu \nu}1510.06699_FO0513
1510.06699_FO0514231.000K_{\lambda \mu \nu}^{*}=-K_{\mu \lambda \nu}^{*}1510.06699_FO0514
1510.06699_FO0515231.000{ }^{0} \Gamma^{* \sigma}{ }_{\rho \mu}1510.06699_FO0515
1510.06699_FO0516230.661\Gamma^{\sigma}{ }_{\nu \mu} \rightarrow^{0} \Gamma^{* \sigma}{ }_{\nu \mu}1510.06699_FO0516
1510.06699_FO0517231.000A^{a}{ }_{b \mu} \rightarrow{ }^{0} A^{* a}{ }_{b \mu}1510.06699_FO0517
1510.06699_FO0518231.000{ }^{0} \nabla_{\sigma}^{*} g_{\mu \nu}=01510.06699_FO0518
1510.06699_FO0519230.983R^{\rho}{ }_{\sigma \mu \nu} \rightarrow{ }^{0} R^{* \rho}{ }_{\sigma \mu \nu}1510.06699_FO0519
1510.06699_FO0520230.983\Gamma^{\sigma}{ }_{\nu \mu} \rightarrow{ }^{0} \Gamma^{* \sigma}{ }_{\nu \mu}1510.06699_FO0520
1510.06699_FO0521231.000{ }^{0} T^{* \lambda}{ }_{\mu \nu}=01510.06699_FO0521
1510.06699_FO0522230.941\nabla_{\mu}^{*} \rightarrow{ }^{0} \nabla_{\mu}^{*}, R^{\rho}{ }_{\sigma \mu \nu} \rightarrow{ }^{0} R^{* \rho}{ }_{\sigma \mu \nu}1510.06699_FO0522
1510.06699_FO0523230.976T^{* \sigma}{ }_{\mu \nu} \rightarrow{ }^{0} T^{* \sigma}{ }_{\mu \nu}=01510.06699_FO0523
1510.06699_FO0524231.000P_{\nu} \equiv \partial_{\nu} \rho, \mathcal{P}_{a} \equiv h_{a}{ }^{\nu} P_{\nu}1510.06699_FO0524
1510.06699_FO0525231.000\theta1510.06699_FO0525
1510.06699_FO0526231.000w=-21510.06699_FO0526
1510.06699_FO0527241.000\mathcal{T}^{a}{ }_{b c}=01510.06699_FO0527
1510.06699_FO0528241.000\mathcal{T}^{\prime a}{ }_{b c} \neq 01510.06699_FO0528
1510.06699_FO0529241.000\mathcal{T}^{\dagger a}{ }_{b c}1510.06699_FO0529
1510.06699_FO0530241.000\theta=01510.06699_FO0530
1510.06699_FO0531241.000\theta=11510.06699_FO0531
1510.06699_FO0532241.000{ }^{0} \mathcal{R}^{a b}{ }_{c d}1510.06699_FO0532
1510.06699_FO0533240.971{ }^{0} \mathcal{T}^{a}{ }_{b c}1510.06699_FO0533
1510.06699_FO0534241.000D_{\mu}^{\dagger} \varphi1510.06699_FO0534
1510.06699_FO0535241.000V_{\mu}1510.06699_FO0535
1510.06699_FO0536240.999\mathcal{V}_{a}=h_{a}{ }^{\mu} V_{\mu}1510.06699_FO0536
1510.06699_FO0537240.999A^{\dagger a b}{ }_{\mu}1510.06699_FO0537
1510.06699_FO0538241.000\partial_{\mu} \varphi^{\prime}1510.06699_FO0538
1510.06699_FO0539241.000T_{\mu}=1510.06699_FO0539
1510.06699_FO0540240.999b^{a}{ }_{\mu} \mathcal{T}_{a}1510.06699_FO0540
1510.06699_FO0541241.000T_{\mu}1510.06699_FO0541
1510.06699_FO0542241.000T_{\mu}^{\prime}=T_{\mu}+3(1-\theta) P_{\mu}1510.06699_FO0542
1510.06699_FO0543240.898A^{\dagger a b}{ }_{\mu}=A^{\dagger a b}{ }_{\mu}1510.06699_FO0543
1510.06699_FO0544241.000V1510.06699_FO0544
1510.06699_FO0545251.000V_{\mu}=01510.06699_FO0545
1510.06699_FO0546251.000A^{\dagger a b}{ }_{\mu}=A^{a b}{ }_{\mu}1510.06699_FO0546
1510.06699_FO0547251.000\left.D_{\mu}^{\dagger} \varphi\right|_{\theta=0}=\left(D_{\mu}-\frac{1}{3} w T_{\mu}\right) \varphi1510.06699_FO0547
1510.06699_FO0548251.000T_{\mu}=01510.06699_FO0548
1510.06699_FO0549251.000\left.D_{\mu}^{\dagger} \varphi\right|_{\theta=1} \equiv\left(\partial_{\mu}+\frac{1}{2} A^{\dagger a b}{ }_{\mu} \Sigma_{a b}-w V_{\mu}\right) \varphi1510.06699_FO0549
1510.06699_FO0550251.000\partial_{\mu}^{\dagger} \varphi(x)1510.06699_FO0550
1510.06699_FO0551251.000w-11510.06699_FO0551
1510.06699_FO0552250.999\mathcal{L}_{\mathrm{M}} \equiv h^{-1} L_{\mathrm{M}}\left(\varphi, \mathcal{D}^{\dagger} \varphi\right)1510.06699_FO0552
1510.06699_FO0553251.000\phi^{2} \mathcal{R}^{\dagger}1510.06699_FO0553
1510.06699_FO0554251.000\phi^{2} L_{\mathcal{T}^{\dagger 2}}1510.06699_FO0554
1510.06699_FO0555250.968\operatorname{SU}(2,2)1510.06699_FO0555
1510.06699_FO0556250.968\mathrm{O}(4,2)1510.06699_FO0556
1510.06699_FO0557261.000e_{b \mu} b_{a}-e_{a \mu} b_{b}1510.06699_FO0557
1510.06699_FO0558261.000\omega_{\mu a b}1510.06699_FO0558
1510.06699_FO0559260.999\mathcal{V}1510.06699_FO0559
1510.06699_FO0560260.999e_{a \mu}1510.06699_FO0560
1510.06699_FO0561261.000c_{b \mu} x_{a}-c_{a \mu} x_{b}1510.06699_FO0561
1510.06699_FO0562261.000c_{a \mu}1510.06699_FO0562
1510.06699_FO0563261.000x_{a}1510.06699_FO0563
1510.06699_FO0564261.000\mathcal{V}_{a}1510.06699_FO0564
1510.06699_FO0565261.000x \cdot \nabla1510.06699_FO0565
1510.06699_FO0566261.000{ }^{0} \nabla_{\mu}^{\dagger} \equiv{ }^{0} \nabla_{\mu}-w\left(V_{\mu}+\frac{1}{3} T_{\mu}\right),{ }^{0} \Gamma^{\lambda}{ }_{\mu \nu} \equiv \frac{1}{2} \gamma^{\lambda \rho}\left(\partial_{\mu} \gamma_{\nu \rho}+\right.1510.06699_FO0566
1510.06699_FO0567260.817\partial_{\nu} \gamma_{\mu \rho}-\partial_{\rho} \gamma_{\mu \nu}1510.06699_FO0567
1510.06699_FO0568260.801D \mu1510.06699_FO0568
1510.06699_FO0569261.000T^{a}{ }_{\mu \nu}1510.06699_FO0569
1510.06699_FO0570261.000D_{\mu}1510.06699_FO0570
1510.06699_FO0571261.000R^{\dagger a b}{ }_{\mu \nu}1510.06699_FO0571
1510.06699_FO0572261.000H_{\mu \nu}^{\dagger}1510.06699_FO0572
1510.06699_FO0573261.000\mathcal{R}^{\dagger a b}{ }_{c d}=h_{c}{ }^{\mu} h_{d}{ }^{\nu} R^{\dagger a b}{ }_{\mu \nu}1510.06699_FO0573
1510.06699_FO0574261.000\mathcal{H}_{c d}^{\dagger}=h_{c}{ }^{\mu} h_{d}{ }^{\nu} H_{\mu \nu}^{\dagger}1510.06699_FO0574
1510.06699_FO0575271.000\mathcal{R}^{\dagger a b}{ }_{c d}, \mathcal{H}_{c d}^{\dagger}1510.06699_FO0575
1510.06699_FO0576271.000\mathcal{T}^{\dagger a}{ }_{c d}1510.06699_FO0576
1510.06699_FO0577271.000w\left(\mathcal{R}^{\dagger a b}{ }_{c d}\right)=w\left(\mathcal{H}_{c d}^{\dagger}\right)=-21510.06699_FO0577
1510.06699_FO0578270.999w\left(\mathcal{T}^{\dagger a}{ }_{c d}\right)=-11510.06699_FO0578
1510.06699_FO0579271.000\mathcal{R}^{\dagger a b}{ }_{c d}1510.06699_FO0579
1510.06699_FO0580271.000\mathcal{H}_{a b}^{\dagger}1510.06699_FO0580
1510.06699_FO0581270.725\mathcal{R}^{\dagger a b}{ }_{c d}(h, A, \partial A, V, \partial V), \mathcal{T}^{\dagger a}{ }_{b c}(h, \partial h, A)1510.06699_FO0581
1510.06699_FO0582271.000\mathcal{H}_{a b}^{\dagger}\left(h, \partial h, \partial^{2} h, A, \partial A, \partial V\right)1510.06699_FO0582
1510.06699_FO0583271.000\partial h, \partial^{2} h, A1510.06699_FO0583
1510.06699_FO0584271.000\partial^{2} h1510.06699_FO0584
1510.06699_FO0585271.000{ }^{0} \mathcal{A}_{a b c}^{\dagger} \equiv \frac{1}{2}\left(c_{a b c}^{\dagger}+\right.1510.06699_FO0585
1510.06699_FO0586270.973\left.c_{b c a}^{\dagger}-c_{c a b}^{\dagger}\right)1510.06699_FO0586
1510.06699_FO0587270.973c^{\dagger c}{ }_{a b} \equiv h_{a}{ }^{\mu} h_{b}{ }^{\nu}\left(\partial_{\mu}^{\dagger} b^{c}{ }_{\nu}-\partial_{\nu}^{\dagger} b^{c}{ }_{\mu}\right)1510.06699_FO0587
1510.06699_FO0588270.981\mathcal{K}_{a b c}^{\dagger} \equiv-\frac{1}{2}\left(\mathcal{T}_{a b c}^{\dagger}+\mathcal{T}_{b c a}^{\dagger}-\mathcal{T}_{c a b}^{\dagger}\right)1510.06699_FO0588
1510.06699_FO0589270.981{ }^{0} \mathcal{A}_{a b c}^{\dagger}1510.06699_FO0589
1510.06699_FO0590270.840\mathcal{K}_{a b c}^{\dagger}1510.06699_FO0590
1510.06699_FO0591270.568{ }^{0} \mathcal{A}_{\text {abc }}^{\dagger}1510.06699_FO0591
1510.06699_FO0592270.551\mathcal{K}_{\text {abc }}^{\dagger}1510.06699_FO0592
1510.06699_FO0593270.992\mathcal{A}_{a b c}^{\dagger}1510.06699_FO0593
1510.06699_FO0594271.000{ }^{0} D_{\mu}^{\dagger} \varphi1510.06699_FO0594
1510.06699_FO0595270.523{ }^{0} \mathcal{D}_{a}^{\dagger} \equiv h_{a}{ }^{\mu} 0^{0} D_{\mu}^{\dagger}1510.06699_FO0595
1510.06699_FO0596271.000\mathcal{D}_{a}^{\dagger}1510.06699_FO0596
1510.06699_FO0597271.000{ }^{0} \mathcal{D}_{a}^{\dagger}1510.06699_FO0597
1510.06699_FO0598271.000\mathcal{R}^{\dagger a b}{ }_{c d}, \mathcal{T}^{\dagger a}{ }_{b c}1510.06699_FO0598
1510.06699_FO0599280.999\mathcal{T}_{a b c}^{\dagger}=\epsilon_{a b c d} t^{d}1510.06699_FO0599
1510.06699_FO0600280.800\mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0600
1510.06699_FO0601280.899\mathcal{T}_{a b c}^{\dagger}1510.06699_FO0601
1510.06699_FO0602281.000\mathcal{R}^{\dagger} \equiv1510.06699_FO0602
1510.06699_FO0603281.000\mathcal{R}^{\dagger a b}{ }_{a b}1510.06699_FO0603
1510.06699_FO0604281.000L_{\mathcal{R}^{\dagger 2}}1510.06699_FO0604
1510.06699_FO0605281.000L_{\mathcal{H}^{\dagger 2}}1510.06699_FO0605
1510.06699_FO0606281.000\mathcal{R}_{a b c d} \rightarrow \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0606
1510.06699_FO0607281.000\mathcal{H}_{a b} \rightarrow1510.06699_FO0607
1510.06699_FO0608280.829{ }^{\underline{71}}1510.06699_FO0608
1510.06699_FO0609280.556\phi^{2} L_{\mathcal{T} \dagger^{2}}1510.06699_FO0609
1510.06699_FO0610280.556L_{\mathcal{T} \dagger^{2}}1510.06699_FO0610
1510.06699_FO0611280.999\mathcal{T}_{a b c} \rightarrow \mathcal{T}_{a b c}^{\dagger}1510.06699_FO0611
1510.06699_FO0612281.000\mathcal{H}_{a b}^{\dagger} \mathcal{H}^{\dagger a b}1510.06699_FO0612
1510.06699_FO0613281.000\varphi, \partial \varphi, h, \partial h, A1510.06699_FO0613
1510.06699_FO0614280.998\mathcal{D}_{a}^{\dagger} \varphi1510.06699_FO0614
1510.06699_FO0615281.000\partial V1510.06699_FO0615
1510.06699_FO0616290.626\mathcal{R}_{a b c d}^{\dagger}(h, A, \partial A, V, \partial V), \mathcal{T}_{a b c}^{\dagger}(h, \partial h, A)1510.06699_FO0616
1510.06699_FO0617291.000\mathcal{H}^{\dagger a b} \mathcal{H}_{a b}^{\dagger}1510.06699_FO0617
1510.06699_FO0618291.000t^{a}{ }_{\mu} \equiv \delta \mathcal{L}_{\mathrm{G}} / \delta h_{a}{ }^{\mu}, s_{a b}{ }^{\mu} \equiv \delta \mathcal{L}_{\mathrm{G}} / \delta A^{a b}{ }_{\mu}1510.06699_FO0618
1510.06699_FO0619291.000j^{\mu} \equiv1510.06699_FO0619
1510.06699_FO0620291.000\delta \mathcal{L}_{\mathrm{G}} / \delta V_{\mu}1510.06699_FO0620
1510.06699_FO0621291.000\zeta^{\mu} \equiv \delta \mathcal{L}_{\mathrm{M}} / \delta V_{\mu}1510.06699_FO0621
1510.06699_FO0622290.998t^{a}{ }_{b}1510.06699_FO0622
1510.06699_FO0623291.000t^{a}{ }_{a}1510.06699_FO0623
1510.06699_FO0624291.000\tau^{a}{ }_{a}1510.06699_FO0624
1510.06699_FO0625291.000t_{a b}1510.06699_FO0625
1510.06699_FO0626291.000\tau^{\dagger a}{ }_{a}=\tau^{a}{ }_{a}1510.06699_FO0626
1510.06699_FO0627290.999t_{a b}^{\dagger}1510.06699_FO0627
1510.06699_FO0628291.000\mathcal{T}_{a}^{\dagger} \equiv 01510.06699_FO0628
1510.06699_FO0629291.000\bar{\partial} L_{\mathrm{M}} / \partial \varphi \equiv\left[\partial L_{\mathrm{M}}\left(\varphi, \mathcal{D}_{a}^{\dagger} u, \phi, \mathcal{D}_{a}^{\dagger} \phi, \ldots\right) / \partial \varphi\right]_{u=\varphi}1510.06699_FO0629
1510.06699_FO0630301.000H_{a b}^{\dagger}1510.06699_FO0630
1510.06699_FO0631301.000H_{a b}=h_{a}{ }^{\mu} h_{b}{ }^{\nu}\left(\partial_{\mu} V_{\nu}-\partial_{\nu} V_{\mu}\right)1510.06699_FO0631
1510.06699_FO0632301.000j^{\dagger a}1510.06699_FO0632
1510.06699_FO0633301.000j^{a}1510.06699_FO0633
1510.06699_FO0634301.000\varphi, \phi, h_{a}^{\mu}, A^{a b}{ }_{\mu}, V_{\mu}1510.06699_FO0634
1510.06699_FO0635301.000\varphi, \phi1510.06699_FO0635
1510.06699_FO0636301.000h_{a}^{\mu}, A^{\dagger a b}{ }_{\mu}, V_{\mu}1510.06699_FO0636
1510.06699_FO0637301.000h_{a}^{\mu}, A^{a b}{ }_{\mu}, V_{\mu}1510.06699_FO0637
1510.06699_FO0638301.000\mathcal{T}_{b}^{\natural} \equiv \mathcal{T}^{\natural a}{ }_{b a}1510.06699_FO0638
1510.06699_FO0639301.000\mathcal{T}_{b}^{\natural}=\mathcal{T}_{b}+3 \mathcal{V}_{b}1510.06699_FO0639
1510.06699_FO0640310.997h, \partial h1510.06699_FO0640
1510.06699_FO0641311.000A^{\dagger}1510.06699_FO0641
1510.06699_FO0642310.566\quad \mathcal{R}_{a b c d}^{\dagger}\left(h, A^{\dagger}, \partial A^{\dagger}\right), \quad \mathcal{T}_{a b c}^{\dagger}\left(h, \partial h, A^{\dagger}\right) \quad1510.06699_FO0642
1510.06699_FO0643311.000\mathcal{H}_{a b}^{\dagger}\left(h, \partial h, \partial^{2} h, A^{\dagger}, \partial A^{\dagger}\right)1510.06699_FO0643
1510.06699_FO0644311.000\mathcal{L}1510.06699_FO0644
1510.06699_FO0645311.000(\delta \mathcal{L} / \delta \chi)_{\dagger}1510.06699_FO0645
1510.06699_FO0646311.000\delta \mathcal{L} / \delta \chi1510.06699_FO0646
1510.06699_FO0647311.000\sigma_{a b}{ }^{\mu}1510.06699_FO0647
1510.06699_FO0648311.000\zeta^{\dagger \mu}=01510.06699_FO0648
1510.06699_FO0649311.000\phi, h_{a}{ }^{\mu}, A^{a b}{ }_{\mu}, V_{\mu}1510.06699_FO0649
1510.06699_FO0650321.000\mathcal{D}_{a}^{*} \rightarrow \mathcal{D}_{a}^{\dagger}1510.06699_FO0650
1510.06699_FO0651321.000\gamma^{a}\left(\mathcal{D}_{a}+\frac{1}{2} \mathcal{T}_{a}\right) \psi=\gamma^{a} \mathcal{D}_{a}^{\dagger} \psi1510.06699_FO0651
1510.06699_FO0652321.000\gamma^{a} \Sigma_{b a}=\frac{1}{4} \gamma^{a}\left[\gamma_{b}, \gamma_{a}\right]=-\frac{3}{2} \gamma_{b}1510.06699_FO0652
1510.06699_FO0653320.997\mathcal{T}_{[a b c]}=01510.06699_FO0653
1510.06699_FO0654321.000{ }^{0} \mathcal{D}_{a} \rightarrow{ }^{0} \mathcal{D}_{a}^{\dagger}1510.06699_FO0654
1510.06699_FO0655321.000\mathcal{T}_{[a b c]} \rightarrow \mathcal{T}_{[a b c]}^{\dagger}1510.06699_FO0655
1510.06699_FO0656321.000\sigma_{a b}{ }^{c}1510.06699_FO0656
1510.06699_FO0657321.000\sigma_{a b}{ }^{b}=01510.06699_FO0657
1510.06699_FO0658320.444\beta_{1}1510.06699_FO0658
1510.06699_FO0659320.444\beta_{2}1510.06699_FO0659
1510.06699_FO0660320.444L_{\mathcal{\mathcal { T } ^ { + } 2}}1510.06699_FO0660
1510.06699_FO0661320.998\widehat{\mathcal{F}}_{a b}^{*} \rightarrow \widehat{\mathcal{F}}_{a b}^{\dagger}, \mathcal{T}^{* c}{ }_{a b} \rightarrow \mathcal{T}^{\dagger c}{ }_{a b}1510.06699_FO0661
1510.06699_FO0662331.000\tau^{\dagger a}{ }_{b}=\tau^{a}{ }_{b}1510.06699_FO0662
1510.06699_FO0663331.000\varphi, \phi, h_{a}^{\mu}1510.06699_FO0663
1510.06699_FO0664330.607\widehat{\mathcal{A}}^{\dagger a b}{ }_{c} \equiv \widehat{h}_{a}{ }^{\mu} \widehat{A}^{\dagger a b}{ }_{\mu}1510.06699_FO0664
1510.06699_FO0665331.000\mathcal{D}_{a}^{\dagger} \chi=\left(\mathcal{D}_{a}^{\natural}-\frac{1}{3} w \mathcal{T}_{a}^{\natural}\right) \chi1510.06699_FO0665
1510.06699_FO0666331.000\mathcal{D}_{a}^{\natural}1510.06699_FO0666
1510.06699_FO0667331.000\mathcal{T}_{a}^{\natural}1510.06699_FO0667
1510.06699_FO0668331.000\widehat{\mathcal{D}}_{a}^{\natural}1510.06699_FO0668
1510.06699_FO0669331.000\widehat{\mathcal{T}}_{a}^{\natural}1510.06699_FO0669
1510.06699_FO0670331.000\widehat{A}^{\dagger a b}{ }_{\mu}1510.06699_FO0670
1510.06699_FO0671331.000\widehat{\mathcal{D}}_{a}^{\natural}=\widehat{h}_{a}{ }^{\mu} D_{\mu}^{\natural}1510.06699_FO0671
1510.06699_FO0672331.000\mathcal{D}_{a}^{\dagger} \phi=\frac{1}{3}\left(\phi^{2} / \phi_{0}\right) \widehat{\mathcal{T}}_{a}^{\natural}1510.06699_FO0672
1510.06699_FO0673330.996\widehat{\mathcal{D}}_{a}^{\dagger}=\widehat{\mathcal{D}}_{a}^{\natural}-\frac{1}{3} w \widehat{\mathcal{T}}_{a}^{\natural}1510.06699_FO0673
1510.06699_FO0674331.000\widehat{\mathcal{D}}_{a}^{\dagger} \widehat{\chi}1510.06699_FO0674
1510.06699_FO0675331.000\widehat{\chi}, \widehat{h}_{a}{ }^{\mu}1510.06699_FO0675
1510.06699_FO0676331.000\mathcal{D}_{a}^{\dagger} \chi1510.06699_FO0676
1510.06699_FO0677330.999\mathcal{R}^{\dagger a b}{ }_{c d}=\left(\phi / \phi_{0}\right)^{2} \widehat{\mathcal{R}}^{\dagger a b}{ }_{c d}1510.06699_FO0677
1510.06699_FO0678331.000\mathcal{T}^{\dagger a}{ }_{b c}=\left(\phi / \phi_{0}\right) \widehat{\mathcal{T}}^{\dagger a}{ }_{b c}1510.06699_FO0678
1510.06699_FO0679331.000\mathcal{H}_{a b}^{\dagger}=\left(\phi / \phi_{0}\right)^{2} \widehat{\mathcal{H}}_{a b}^{\dagger}1510.06699_FO0679
1510.06699_FO0680331.000\varphi, h_{a}{ }^{\mu}1510.06699_FO0680
1510.06699_FO0681341.000\varphi, h1510.06699_FO0681
1510.06699_FO0682341.000\varphi, \phi, h_{a}^{\mu}, A^{a b}{ }_{\mu}1510.06699_FO0682
1510.06699_FO0683341.000\widehat{V}_{\mu}=\frac{1}{3} \widehat{T}_{\mu}^{\natural}1510.06699_FO0683
1510.06699_FO0684341.000\widehat{\mathcal{V}}_{a} \equiv \widehat{h}_{a}{ }^{\mu} \widehat{V}_{\mu}1510.06699_FO0684
1510.06699_FO0685341.000\varphi, h_{a}^{\mu}1510.06699_FO0685
1510.06699_FO0686341.000V_{\mu}+\frac{1}{3} T_{\mu}1510.06699_FO0686
1510.06699_FO0687341.000\widehat{\varphi}, \widehat{h}_{a}{ }^{\mu}, \widehat{A}^{\dagger a b}{ }_{\mu}1510.06699_FO0687
1510.06699_FO0688341.000\widehat{V}_{\mu}1510.06699_FO0688
1510.06699_FO0689341.000v^{c}\left(\mathcal{D}_{c}^{\dagger} p_{a}-\right.1510.06699_FO0689
1510.06699_FO0690340.971\left.\mathcal{T}_{\text {cab }}^{\dagger} p^{b}\right)=e \mu^{2} \phi \mathcal{D}_{a}^{\dagger} \phi1510.06699_FO0690
1510.06699_FO0691340.997v^{c}{ }^{0} \mathcal{D}_{c}^{\dagger} p_{a}=e \mu^{2} \phi^{0} \mathcal{D}_{a}^{\dagger} \phi1510.06699_FO0691
1510.06699_FO0692341.000{ }^{0} D_{\mu}^{\dagger}1510.06699_FO0692
1510.06699_FO0693340.718\mathcal{T}_{a b c}^{\dagger} \equiv 01510.06699_FO0693
1510.06699_FO0694340.718\left.\mathcal{K}_{a b c}^{\dagger} \equiv 0\right)1510.06699_FO0694
1510.06699_FO0695351.000{ }^{0} R^{\dagger a b}{ }_{\mu \nu}\left(h, \partial h, \partial^{2} h, A, \partial A, V, \partial V\right)1510.06699_FO0695
1510.06699_FO0696351.000{ }^{0} A^{\dagger a b}{ }_{\mu}1510.06699_FO0696
1510.06699_FO0697351.000{ }^{0} R^{\dagger a b}{ }_{\mu \nu}1510.06699_FO0697
1510.06699_FO0698351.000R^{\dagger a b}{ }_{\mu \nu}(h, A, \partial A, V, \partial V)1510.06699_FO0698
1510.06699_FO0699351.000{ }^{0} \mathcal{R}^{\dagger a b}{ }_{c d}=h_{c}{ }^{\mu} h_{d}{ }^{\mu}{ }^{0} R^{\dagger a b}{ }_{\mu \nu}1510.06699_FO0699
1510.06699_FO0700351.000{ }^{0} \mathcal{T}^{\dagger a}{ }_{b c} \equiv1510.06699_FO0700
1510.06699_FO0701351.000h_{b}{ }^{\mu} h_{c}{ }^{\nu}\left({ }^{0} D_{\mu}^{\dagger} b^{a}{ }_{\nu}-{ }^{0} D_{\nu}^{\dagger} b^{a}{ }_{\mu}\right)=01510.06699_FO0701
1510.06699_FO0702350.785\mathcal{D}_{a}^{\dagger} \rightarrow^{0} \mathcal{D}_{a}^{\dagger}, \mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0702
1510.06699_FO0703350.831\mathcal{T}_{a b c}^{\dagger} \rightarrow{ }^{0} \mathcal{T}_{a b c}^{\dagger}=01510.06699_FO0703
1510.06699_FO0704351.000{ }^{0} \mathcal{R}^{a b}{ }_{c d} \rightarrow1510.06699_FO0704
1510.06699_FO0705351.000{ }^{0} \mathcal{R}^{\dagger a b}{ }_{c d},{ }^{0} \mathcal{D}_{a} \rightarrow{ }^{0} \mathcal{D}_{a}^{\dagger}, \mathcal{K}_{a b c} \rightarrow \mathcal{K}_{a b c}^{\dagger}1510.06699_FO0705
1510.06699_FO0706351.000\mathcal{R}^{a b}{ }_{c d} \rightarrow{ }^{0} \mathcal{R}^{\dagger a b}{ }_{c d}1510.06699_FO0706
1510.06699_FO0707351.000{ }^{0} \mathcal{R}^{\dagger}{ }_{a b}1510.06699_FO0707
1510.06699_FO0708350.999{ }^{0} \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0708
1510.06699_FO0709351.000\mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0709
1510.06699_FO0710350.535\mathcal{D}_{a}^{\dagger} \rightarrow^{0} \mathcal{D}_{a}^{\dagger}1510.06699_FO0710
1510.06699_FO0711350.720\phi^{2}{ }^{0} \mathcal{R}^{\dagger}1510.06699_FO0711
1510.06699_FO0712350.806\mathcal{D}_{a}^{\dagger} \rightarrow{ }^{0} \mathcal{D}_{a}^{\dagger}, \mathcal{R}_{a b c d}^{\dagger} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0712
1510.06699_FO0713350.806\mathcal{T}_{a b c}^{\dagger} \rightarrow1510.06699_FO0713
1510.06699_FO0714350.961{ }^{0} \mathcal{T}_{a b c}^{\dagger} \equiv 01510.06699_FO0714
1510.06699_FO0715350.891\mathcal{T}_{a b c}^{\dagger}=01510.06699_FO0715
1510.06699_FO0716361.000b^{b}{ }_{\nu}1510.06699_FO0716
1510.06699_FO0717361.000e^{b}{ }_{\nu}1510.06699_FO0717
1510.06699_FO0718361.000e_{a}{ }^{\mu}, A^{a b}{ }_{\mu}1510.06699_FO0718
1510.06699_FO0719361.000\partial_{\mu}^{\dagger}1510.06699_FO0719
1510.06699_FO0720361.000A^{\dagger a b}{ }_{\mu}=-A^{\dagger b a}{ }_{\mu}1510.06699_FO0720
1510.06699_FO0721360.545\nabla_{\mu}^{\dagger}=\partial_{\mu}^{\dagger}+\Gamma^{\sigma}{ }_{\rho \mu} \mathrm{X}^{\rho}{ }_{\sigma}1510.06699_FO0721
1510.06699_FO0722360.5454, R1510.06699_FO0722
1510.06699_FO0723361.000\Delta_{\mu}^{\dagger}1510.06699_FO0723
1510.06699_FO0724361.000\nabla_{\mu}^{\dagger} \psi=\partial_{\mu}^{\dagger} \psi1510.06699_FO0724
1510.06699_FO0725361.000\Delta_{\mu}^{\dagger} \psi=D_{\mu}^{\dagger} \psi1510.06699_FO0725
1510.06699_FO0726361.000D_{\mu}^{\dagger} \psi=\partial_{\mu}^{\dagger} \psi1510.06699_FO0726
1510.06699_FO0727361.000\Delta_{\mu}^{\dagger} \psi=\nabla_{\mu}^{\dagger} \psi1510.06699_FO0727
1510.06699_FO0728361.000T1510.06699_FO0728
1510.06699_FO0729361.000\partial_{\mu}^{*} \rightarrow \partial_{\mu}^{\dagger}1510.06699_FO0729
1510.06699_FO0730361.000A_{\mu}^{a b} \rightarrow A^{\dagger a b}{ }_{\mu}1510.06699_FO0730
1510.06699_FO0731361.000\nabla_{\sigma}^{\dagger} g_{\mu \nu}=01510.06699_FO0731
1510.06699_FO0732361.000R^{\dagger \rho}{ }_{\sigma \mu \nu}=e_{a}{ }^{\rho} e^{b}{ }_{\sigma} R^{\dagger a}{ }_{b \mu \nu}1510.06699_FO0732
1510.06699_FO0733361.000T^{\dagger \lambda}{ }_{\mu \nu}=e_{a}{ }^{\lambda} T^{\dagger a}{ }_{\mu \nu}1510.06699_FO0733
1510.06699_FO0734371.000T^{\dagger \lambda}{ }_{\mu \lambda}=01510.06699_FO0734
1510.06699_FO0735371.000R^{\dagger \rho}{ }_{\sigma \mu \nu}1510.06699_FO0735
1510.06699_FO0736370.999{ }^{0} \Gamma^{\dagger \sigma}{ }_{\rho \mu}1510.06699_FO0736
1510.06699_FO0737371.000\widehat{R}_{\rho \sigma \mu \nu}1510.06699_FO0737
1510.06699_FO0738371.000\widehat{R}_{(\rho \sigma) \mu \nu}=-g_{\rho \sigma} H_{\mu \nu}^{\dagger}1510.06699_FO0738
1510.06699_FO0739371.000\widehat{R}^{\rho}{ }_{\sigma \mu \nu}1510.06699_FO0739
1510.06699_FO0740371.000T^{\dagger \lambda}{ }_{\mu \nu}1510.06699_FO0740
1510.06699_FO0741371.000\widehat{R}_{\mu \nu} \equiv \widehat{R}_{\mu \lambda \nu}{ }^{\lambda}=R_{\mu \nu}^{\dagger}+H_{\mu \nu}^{\dagger}1510.06699_FO0741
1510.06699_FO0742371.000\widehat{R} \equiv \widehat{R}^{\mu}{ }_{\mu}=R^{\dagger}1510.06699_FO0742
1510.06699_FO0743371.000{ }^{0} \Delta_{\mu}^{\dagger} e^{a}{ }_{\nu} \equiv \partial_{\mu}^{\dagger} e^{a}{ }_{\nu}-{ }^{0} \Gamma^{\dagger \sigma}{ }_{\nu \mu} e^{a}{ }_{\sigma}+{ }^{0} A^{\dagger a}{ }_{b \mu} e^{b}{ }_{\nu}=01510.06699_FO0743
1510.06699_FO0744370.992\partial_{\mu}^{*} \rightarrow \partial_{\mu}^{\dagger}, \Gamma^{\sigma}{ }_{\nu \mu} \rightarrow1510.06699_FO0744
1510.06699_FO0745371.000{ }^{0} \Gamma^{\dagger \sigma}{ }_{\nu \mu}1510.06699_FO0745
1510.06699_FO0746371.000A^{a}{ }_{b \mu} \rightarrow{ }^{0} A^{\dagger a}{ }_{b \mu}1510.06699_FO0746
1510.06699_FO0747371.000{ }^{0} \nabla_{\sigma}^{\dagger} g_{\mu \nu}=01510.06699_FO0747
1510.06699_FO0748371.000R^{\dagger \rho}{ }_{\sigma \mu \nu} \rightarrow{ }^{0} R^{\dagger \rho}{ }_{\sigma \mu \nu}1510.06699_FO0748
1510.06699_FO0749370.999\Gamma^{\sigma}{ }_{\nu \mu} \rightarrow{ }^{0} \Gamma^{\dagger \sigma}{ }_{\nu \mu}1510.06699_FO0749
1510.06699_FO0750371.000{ }^{0} T^{\dagger \lambda}{ }_{\mu \nu}=01510.06699_FO0750
1510.06699_FO0751370.986\nabla_{\mu}^{\dagger} \rightarrow{ }^{0} \nabla_{\mu}^{\dagger}, R^{\rho}{ }_{\sigma \mu \nu} \rightarrow{ }^{0} R^{\dagger \rho}{ }_{\sigma \mu \nu}1510.06699_FO0751
1510.06699_FO0752370.986T^{\dagger \sigma}{ }_{\mu \nu} \rightarrow{ }^{0} T^{\dagger \sigma}{ }_{\mu \nu}=01510.06699_FO0752
1510.06699_FO0753371.000L_{\mathrm{T}}=1510.06699_FO0753
1510.06699_FO0754371.000L_{\mathrm{G}}+L_{\mathrm{M}}1510.06699_FO0754
1510.06699_FO0755371.000{ }^{0} \Gamma^{\lambda}{ }_{\mu \nu}1510.06699_FO0755
1510.06699_FO0756371.000K^{\dagger \lambda}{ }_{\mu \nu}1510.06699_FO0756
1510.06699_FO0757371.000L_{G}=L_{\mathcal{R}^{\dagger 2}}+L_{\mathcal{H}^{\dagger 2}}1510.06699_FO0757
1510.06699_FO0758371.000L_{\mathrm{M}}=1510.06699_FO0758
1510.06699_FO0759381.000\nu, \lambda, a1510.06699_FO0759
1510.06699_FO0760381.000\nu, \lambda1510.06699_FO0760
1510.06699_FO0761381.000L_{\varphi}1510.06699_FO0761
1510.06699_FO0762381.000\left(\tau_{\varphi}^{\dagger}\right)^{a}{ }_{b}=h_{b}{ }^{\mu}\left(\delta L_{\varphi} / \delta h_{a}{ }^{\mu}\right)_{\dagger}1510.06699_FO0762
1510.06699_FO0763381.000\left(t_{\mathcal{H}^{2}}^{\dagger}\right)^{a}{ }_{b}1510.06699_FO0763
1510.06699_FO0764391.000\left(\sigma_{\varphi}^{\dagger}\right)_{a b}{ }^{c}=1510.06699_FO0764
1510.06699_FO0765391.000b^{c}{ }_{\mu} \delta L_{\varphi} / \delta A^{a b}{ }_{\mu}1510.06699_FO0765
1510.06699_FO0766390.860\left(s_{\mathcal{H}^{2}}\right)_{a b}{ }^{c}1510.06699_FO0766
1510.06699_FO0767390.554\mathcal{T}_{c a b}^{\dagger}+2 \mathcal{T}_{[a b] c}^{\dagger}-3 \mathcal{T}_{[c a b]}^{\dagger}=01510.06699_FO0767
1510.06699_FO0768391.000\alpha_{4}1510.06699_FO0768
1510.06699_FO0769391.000\alpha_{5}1510.06699_FO0769
1510.06699_FO0770390.606\overline{\mathcal{R}}_{a b c d}^{\dagger} \equiv \mathcal{R}_{c d a b}^{\dagger}1510.06699_FO0770
1510.06699_FO0771390.606\overline{\mathcal{R}}^{\dagger a}{ }_{b}=\mathcal{R}_{b}^{\dagger a}1510.06699_FO0771
1510.06699_FO0772391.000\alpha_{2}1510.06699_FO0772
1510.06699_FO0773391.000\alpha_{3}1510.06699_FO0773
1510.06699_FO0774391.000\alpha_{1}1510.06699_FO0774
1510.06699_FO0775391.000\overline{\mathcal{R}}^{\dagger}=\mathcal{R}^{\dagger}1510.06699_FO0775
1510.06699_FO0776391.000\left(\zeta_{\varphi}\right)_{a}=1510.06699_FO0776
1510.06699_FO0777391.000b_{a \mu} \delta L_{\varphi} / \delta V_{\mu}1510.06699_FO0777
1510.06699_FO0778391.000c1510.06699_FO0778
1510.06699_FO0779391.000j_{a}^{\dagger}1510.06699_FO0779
1510.06699_FO0780391.000\zeta_{a}^{\dagger}1510.06699_FO0780
1510.06699_FO0781391.000\partial_{\phi} \equiv \partial / \partial \phi1510.06699_FO0781
1510.06699_FO0782391.000\delta_{\phi} \equiv \delta / \delta \phi1510.06699_FO0782
1510.06699_FO0783391.000L_{\phi}1510.06699_FO0783
1510.06699_FO0784401.000-\phi1510.06699_FO0784
1510.06699_FO0785400.999\delta_{\varphi} L_{\varphi}=01510.06699_FO0785
1510.06699_FO0786401.000\xi=01510.06699_FO0786
1510.06699_FO0787401.000\left.\mathcal{D}_{a}^{\dagger} \phi\right|_{\phi=\phi_{0}}=\phi_{0}\left(\mathcal{V}_{a}+\frac{1}{3} \mathcal{T}_{a}\right)1510.06699_FO0787
1510.06699_FO0788401.000\widehat{\varphi}, \widehat{h}_{a}{ }^{\mu}1510.06699_FO0788
1510.06699_FO0789411.000h^{\prime}{ }_{a}{ }^{\mu}=e^{-\rho} h_{a}{ }^{\mu}1510.06699_FO0789
1510.06699_FO0790411.000A^{\prime a b}{ }_{\mu}=A^{a b}{ }_{\mu}+1510.06699_FO0790
1510.06699_FO0791411.000\theta\left(b^{a}{ }_{\mu} \mathcal{P}^{b}-b^{b}{ }_{\mu} \mathcal{P}^{a}\right)1510.06699_FO0791
1510.06699_FO0792411.000\mathcal{P}_{a}=h_{a}{ }^{\mu} \partial_{\mu} \rho1510.06699_FO0792
1510.06699_FO0793411.000\mathcal{P}^{2} \equiv \mathcal{P}_{a} \mathcal{P}^{a}1510.06699_FO0793
1510.06699_FO0794411.000(\theta=0)1510.06699_FO0794
1510.06699_FO0795411.000(\theta=1)1510.06699_FO0795
1510.06699_FO0796411.000\theta \neq 01510.06699_FO0796
1510.06699_FO0797411.000\alpha_{i}=01510.06699_FO0797
1510.06699_FO0798410.996i1510.06699_FO0798
1510.06699_FO0799410.998L_{\mathcal{T}^{2}}1510.06699_FO0799
1510.06699_FO0800420.989\mathcal{L}_{\mathrm{M}} \equiv \mathcal{L}_{\psi}+\mathcal{L}_{\phi}+\phi^{2} \mathcal{L}_{\mathcal{R}}+\phi^{2} \mathcal{L}_{\mathcal{T}^{2}}1510.06699_FO0800
1510.06699_FO0801420.990\mathcal{L}_{\psi}1510.06699_FO0801
1510.06699_FO0802421.000\nu, a1510.06699_FO0802
1510.06699_FO0803421.000\beta_{i}(i=1,2,3)1510.06699_FO0803
1510.06699_FO0804421.000\nu1510.06699_FO0804
1510.06699_FO0805421.000\nu=0=2 \beta_{1}+\beta_{2}+3 \beta_{3}1510.06699_FO0805
1510.06699_FO0806420.997\nu=0=a1510.06699_FO0806
1510.06699_FO0807421.000\nu=\beta_{1}=\beta_{2}=\beta_{3}=01510.06699_FO0807
1510.06699_FO0808421.0002 \beta_{1}+\beta_{2}+3 \beta_{3}=01510.06699_FO0808
1510.06699_FO0809420.706\mathcal{D}_{a} \phi \rightarrow\left(\mathcal{D}_{a}+\frac{1}{3} \mathcal{T}_{a}\right) \phi1510.06699_FO0809
1510.06699_FO0810420.706\mathcal{D}^{a} \phi1510.06699_FO0810
1510.06699_FO0811421.000\frac{1}{2} \nu+6 a=01510.06699_FO0811
1510.06699_FO0812420.9942 \beta_{1}+\beta_{2}=01510.06699_FO0812
1510.06699_FO0813420.994L_{\mathcal{T}^{+2}}1510.06699_FO0813
1510.06699_FO0814431.000{ }^{0} \mathcal{D}_{a}1510.06699_FO0814
1510.06699_FO0815431.000{ }^{0} \mathcal{T}^{a}{ }_{b c} \equiv h_{b}{ }^{\mu} h_{c}{ }^{\nu}\left({ }^{0} D_{\mu} b^{a}{ }_{\nu}-{ }^{0} D_{\nu} b^{a}{ }_{\mu}\right)=01510.06699_FO0815
1510.06699_FO0816431.000{ }^{0} A^{\prime a b}{ }_{\mu}={ }^{0} A^{a b}{ }_{\mu}+b^{a}{ }_{\mu} \mathcal{P}^{b}-b^{b}{ }_{\mu} \mathcal{P}^{a}1510.06699_FO0816
1510.06699_FO0817431.000{ }^{0} A^{a b}{ }_{\mu},{ }^{0} \mathcal{D}_{c} \varphi1510.06699_FO0817
1510.06699_FO0818430.999A^{a b}{ }_{\mu}, \mathcal{D}_{c} \varphi1510.06699_FO0818
1510.06699_FO0819431.000\mathcal{D}_{c} \rightarrow{ }^{0} \mathcal{D}_{c}1510.06699_FO0819
1510.06699_FO0820431.000\mathcal{T}^{a}{ }_{b c} \rightarrow{ }^{0} \mathcal{T}^{a}{ }_{b c} \equiv 01510.06699_FO0820
1510.06699_FO0821430.915L_{G}1510.06699_FO0821
1510.06699_FO0822431.0002 \alpha_{3}+\alpha_{2}=01510.06699_FO0822
1510.06699_FO0823431.0003 \alpha_{1}-\alpha_{3}=01510.06699_FO0823
1510.06699_FO0824431.000\alpha=\alpha_{3}1510.06699_FO0824
1510.06699_FO0825431.000{ }^{0} \mathcal{R}_{a b c d}{ }^{0} \mathcal{R}^{a b c d}1510.06699_FO0825
1510.06699_FO0826430.899{ }^{\underline{101}}1510.06699_FO0826
1510.06699_FO0827430.999L_{\mathrm{W}}={ }^{0} \mathcal{C}_{a b c d}{ }^{0} \mathcal{C}^{a b c d}1510.06699_FO0827
1510.06699_FO0828430.999{ }^{0} \mathcal{C}_{a b c d}1510.06699_FO0828
1510.06699_FO0829441.000{ }^{0} \mathcal{R}_{a b c d}1510.06699_FO0829
1510.06699_FO0830440.988{ }^{0} \mathcal{C}_{a b c d}^{\prime}=e^{-2 \rho}{ }^{0} \mathcal{C}_{a b c d}1510.06699_FO0830
1510.06699_FO0831441.000L_{W}1510.06699_FO0831
1510.06699_FO0832441.000w\left(L_{W}\right)=-41510.06699_FO0832
1510.06699_FO0833441.000{ }^{\underline{19}}1510.06699_FO0833
1510.06699_FO0834441.000\mathcal{D}_{a} \rightarrow{ }^{0} \mathcal{D}_{a}1510.06699_FO0834
1510.06699_FO0835440.554\mathcal{R} \rightarrow{ }^{0} \mathcal{R}1510.06699_FO0835
1510.06699_FO0836440.972{ }^{\underline{103}}1510.06699_FO0836
1510.06699_FO0837441.000\frac{1}{2} \nu+1510.06699_FO0837
1510.06699_FO0838441.0006 a=01510.06699_FO0838
1510.06699_FO0839440.657\phi^{20} \mathcal{R}1510.06699_FO0839
1510.06699_FO0840441.000{ }^{0} \mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{*}1510.06699_FO0840
1510.06699_FO0841441.000{ }^{0} \mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}^{\dagger}1510.06699_FO0841
1510.06699_FO0842441.000\frac{1}{2} \nu+6 a=1510.06699_FO0842
1510.06699_FO0843440.996\mathcal{T}_{a} \equiv 01510.06699_FO0843
1510.06699_FO0844440.996\mathcal{D}_{a}^{\dagger} \rightarrow{ }^{0} \mathcal{D}_{a}^{*}1510.06699_FO0844
1510.06699_FO0845441.000\mathcal{R}^{\dagger} \rightarrow{ }^{0} \mathcal{R}^{*} \mathcal{T}_{a b c}^{\dagger} \rightarrow{ }^{0} \mathcal{T}_{a b c}^{*} \equiv 01510.06699_FO0845
1510.06699_FO0846441.000\mathcal{D}_{a}^{\dagger} \rightarrow{ }^{0} \mathcal{D}_{a}^{\dagger}, \mathcal{R}^{\dagger} \rightarrow{ }^{0} \mathcal{R}^{\dagger}1510.06699_FO0846
1510.06699_FO0847440.996\mathcal{T}_{a b c}^{\dagger} \rightarrow{ }^{0} \mathcal{T}_{a b c}^{\dagger} \equiv 01510.06699_FO0847
1510.06699_FO0848450.997w,-11510.06699_FO0848
1510.06699_FO0849451.000\mathcal{R}_{a b c d}^{\dagger}(h, A, \partial A, V, \partial V)1510.06699_FO0849
1510.06699_FO0850451.000\mathcal{T}_{a b c}^{\dagger}(h, \partial h, A) \quad1510.06699_FO0850
1510.06699_FO0851451.000\quad \mathcal{H}_{a b}^{\dagger}\left(h, \partial h, \partial^{2} h, A, \partial A, \partial V\right)1510.06699_FO0851
1510.06699_FO0852451.000\mathcal{T}_{a}^{\dagger}1510.06699_FO0852
1510.06699_FO0853450.971\tau_{a b}^{\dagger}1510.06699_FO0853
1510.06699_FO0854451.000A^{\dagger a b}{ }_{\mu} \equiv1510.06699_FO0854
1510.06699_FO0855450.932A^{a b}{ }_{\mu}+\left(\mathcal{V}^{a} b^{b}{ }_{\mu}-\mathcal{V}^{b} b^{a}{ }_{\mu}\right)1510.06699_FO0855
1510.06699_FO0856461.000t^{\dagger a}{ }_{a}1510.06699_FO0856
1510.06699_FO0857461.000\tau^{\dagger a}{ }_{a}1510.06699_FO0857
1510.06699_FO0858460.948{ }^{0} \mathcal{R}_{a b c d}^{\dagger}\left(h, \partial h, \partial^{2} h, A, \partial A, V, \partial V\right)1510.06699_FO0858
1510.06699_FO0859471.000\not \partial \equiv \gamma^{\mu} \partial_{\mu}1510.06699_FO0859
1510.06699_FO0860470.938\bar{\psi} / t1510.06699_FO0860
1510.06699_FO0861470.938J^{\mu}=1510.06699_FO0861
1510.06699_FO0862471.000\bar{\psi} \gamma^{\mu} \psi1510.06699_FO0862
1510.06699_FO0863471.000\psi \bar{\psi}1510.06699_FO0863
1510.06699_FO0864471.000\gamma^{5}=\gamma_{5}=i \gamma^{0} \gamma^{1} \gamma^{2} \gamma^{3}1510.06699_FO0864
1510.06699_FO0865471.000\sigma^{\nu \rho}=\frac{i}{2}\left[\gamma^{\nu}, \gamma^{\rho}\right]1510.06699_FO0865
1510.06699_FO0866471.000\rho \equiv \bar{\psi} \psi1510.06699_FO0866
1510.06699_FO0867470.671\beta \equiv \bar{\psi} i \gamma^{5} \psi1510.06699_FO0867
1510.06699_FO0868470.671\bar{\psi} / \hbar=1510.06699_FO0868
1510.06699_FO0869471.000\bar{\psi}\left(\rho+\beta i \gamma^{5}\right)1510.06699_FO0869
1510.06699_FO0870471.000\left(\rho-\beta i \gamma^{5}\right)1510.06699_FO0870
1510.06699_FO0871470.982\nexists \not \partial \psi1510.06699_FO0871
1510.06699_FO0872471.000J^{\mu} \partial_{\mu} \psi1510.06699_FO0872
1510.06699_FO0873471.000n^{\nu} \equiv-i \sigma^{\mu \nu} J_{\mu}1510.06699_FO0873
1510.06699_FO0874471.000J_{\nu} n^{\nu}=-i \sigma^{\mu \nu} J_{\mu} J_{\nu}=01510.06699_FO0874
1510.06699_FO0875471.000-i \sigma^{\mu \nu} J_{\mu} \partial_{\nu} \psi1510.06699_FO0875
1510.06699_FO0876471.000x^{\mu}(\lambda)1510.06699_FO0876
1510.06699_FO0877471.000R(\lambda)1510.06699_FO0877
1510.06699_FO0878471.000\bar{R} R=11510.06699_FO0878
1510.06699_FO0879471.000\bar{R} i \gamma^{5} R=01510.06699_FO0879
1510.06699_FO0880471.000R1510.06699_FO0880
1510.06699_FO0881471.000\dot{x}^{\mu} \equiv d x^{\mu} / d \lambda1510.06699_FO0881
1510.06699_FO0882471.000\bar{R} \gamma^{\mu} R1510.06699_FO0882
1510.06699_FO0883471.000p_{\mu}(\lambda)1510.06699_FO0883
1510.06699_FO0884471.000p_{\mu}1510.06699_FO0884
1510.06699_FO0885471.000\dot{x}^{\mu}1510.06699_FO0885
1510.06699_FO0886470.999m e(\lambda)1510.06699_FO0886
1510.06699_FO0887471.000x^{\mu}(\lambda), R(\lambda), p^{\mu}(\lambda)1510.06699_FO0887
1510.06699_FO0888471.000p^{\mu} / m1510.06699_FO0888
1510.06699_FO0889471.000e(\lambda) \rightarrow \frac{1}{2} e(\lambda)1510.06699_FO0889
1510.06699_FO0890471.000x^{\mu}(\lambda), p^{\mu}(\lambda)1510.06699_FO0890
1510.06699_FO0891471.000\rho=01510.06699_FO0891
1510.06699_FO0892471.000\rho(x)=01510.06699_FO0892
1510.06699_FO0893481.000D_{\mu} \varphi1510.06699_FO0893
1510.06699_FO0894480.981\rho(x)=0=1510.06699_FO0894
1510.06699_FO0895481.000B_{\mu}=01510.06699_FO0895
1510.06699_FO0896481.000H_{\mu \nu}=01510.06699_FO0896
1510.06699_FO0897480.999\mathcal{R} \equiv \mathcal{R}^{a b}{ }_{a b}, \Lambda1510.06699_FO0897
1510.06699_FO0898481.000a, \Lambda,\left\{\alpha_{i}\right\}1510.06699_FO0898
1510.06699_FO0899481.000\left\{\beta_{i}\right\}1510.06699_FO0899
1510.06699_FO0900481.000\varphi, \partial \varphi, h1510.06699_FO0900
1510.06699_FO0901480.546\mathcal{H}_{a b}, j^{a}, \zeta^{a}1510.06699_FO0901
1510.06699_FO0902481.000\mu \phi \bar{\psi} \psi \rightarrow m \bar{\psi} \psi1510.06699_FO0902
1510.06699_FO0903481.000\phi=11510.06699_FO0903
1510.06699_FO0904480.992{ }^{0} \mathcal{T}^{a}{ }_{b c} \equiv 01510.06699_FO0904
1510.06699_FO0905481.000{ }^{0} \mathcal{R}^{a b}{ }_{c d}\left(h, \partial h, \partial^{2} h\right)1510.06699_FO0905
1510.06699_FO0906491.000{ }^{0} \mathcal{D}_{a} \mathcal{T}^{a}=h \partial_{\mu}\left(h^{-1} h_{a}{ }^{\mu} \mathcal{T}^{a}\right)1510.06699_FO0906
1510.06699_FO0907490.980{ }^{\underline{105}}1510.06699_FO0907
1510.06699_FO0908490.935L_{0} \mathcal{R}^{2}1510.06699_FO0908
1510.06699_FO0909490.606L_{0^{\mathcal{R}^{2}}}1510.06699_FO0909
1510.06699_FO0910490.999\mathcal{R}_{a b c d} \rightarrow{ }^{0} \mathcal{R}_{a b c d}1510.06699_FO0910
1510.06699_FO0911491.000\alpha_{3}=01510.06699_FO0911
1510.06699_FO0912490.999\alpha_{1}=\alpha_{2}=01510.06699_FO0912
1510.06699_FO0913491.000a=\frac{1}{2}1510.06699_FO0913
1510.06699_FO0914490.999a=0=\Lambda, \alpha_{1}=-\frac{1}{3} \alpha_{2}1510.06699_FO0914
1510.06699_FO0915491.000U_{4}1510.06699_FO0915
1510.06699_FO0916491.000{ }^{0} R^{\rho}{ }_{\sigma \mu \nu}1510.06699_FO0916
1510.06699_FO0917491.000R \equiv R^{\mu \nu}{ }_{\mu \nu}1510.06699_FO0917
1510.06699_FO0918490.999{ }^{0} R \equiv{ }^{0} R^{\mu \nu}{ }_{\mu \nu}1510.06699_FO0918
1510.06699_FO0919491.000L_{\mathrm{G}}=-R /(2 \kappa)1510.06699_FO0919
1510.06699_FO0920491.000T_{\mu \nu \sigma}1510.06699_FO0920
1510.06699_FO0921491.000T_{\mu \nu \lambda}1510.06699_FO0921
1510.06699_FO0922491.000\mathcal{R}=\mathcal{R}^{a b}{ }_{a b}1510.06699_FO0922
1510.06699_FO0923491.000\Lambda=\alpha_{i}=\beta_{i}=01510.06699_FO0923
1510.06699_FO0924490.983{ }^{\underline{106}}1510.06699_FO0924
1510.06699_FO0925501.000\mathcal{T}_{a} \equiv \mathcal{T}^{c}{ }_{a c}1510.06699_FO0925
1510.06699_FO0926500.999\mathcal{A}^{a b}{ }_{c}=h_{c}{ }^{\mu} A^{a b}{ }_{\mu}1510.06699_FO0926
1510.06699_FO0927501.000\sigma_{a b}{ }^{c} \neq 01510.06699_FO0927
1510.06699_FO0928501.000\sigma_{a b c}1510.06699_FO0928
1510.06699_FO0929501.000\mathcal{T}^{c}{ }_{a b}1510.06699_FO0929
1510.06699_FO0930500.997\mu \phi \equiv m1510.06699_FO0930
1510.06699_FO0931501.000\mathcal{T}^{c}{ }_{a b}=2 \kappa h \sigma_{a b}{ }^{c}1510.06699_FO0931
1510.06699_FO0932501.000R_{\mu \nu} \equiv R^{\lambda}{ }_{\mu \lambda \nu}1510.06699_FO0932
1510.06699_FO0933501.000R \equiv R^{\mu}{ }_{\mu}1510.06699_FO0933
1510.06699_FO0934501.000\Gamma^{\lambda}{ }_{\mu \nu}1510.06699_FO0934
1510.06699_FO0935511.000\tau_{\mu \nu}=1510.06699_FO0935
1510.06699_FO0936511.000e^{a}{ }_{\mu} e^{b}{ }_{\nu} \tau_{a b}1510.06699_FO0936
1510.06699_FO0937511.000\sigma_{\mu \nu}{ }^{\lambda}=e^{a}{ }_{\mu} e^{b}{ }_{\nu} e_{c}{ }^{\lambda} \sigma_{a b}{ }^{c}1510.06699_FO0937
1510.06699_FO0938511.000\sigma_{\mu \nu}{ }^{\lambda}1510.06699_FO0938
1510.06699_FO0939511.000T^{\lambda}{ }_{\mu \nu}1510.06699_FO0939
1510.06699_FO0940511.000R_{\mu \nu}1510.06699_FO0940
1510.06699_FO0941511.000{ }^{0} R_{\mu \nu} \equiv R_{\mu \nu}\left(V_{4}\right)1510.06699_FO0941
1510.06699_FO0942510.979{ }^{\underline{108}}1510.06699_FO0942
1510.06699_FO0943511.000-\frac{1}{4}1510.06699_FO0943
1510.06699_FO0944511.000\phi^{4}1510.06699_FO0944
1510.06699_FO0945511.000L_{\varphi}(\varphi, \partial \varphi, h, A, B, \phi)1510.06699_FO0945
1510.06699_FO0946511.000\mathcal{L}_{T}=h^{-1} L_{T}1510.06699_FO0946
1510.06699_FO0947511.000L_{T}1510.06699_FO0947
1510.06699_FO0948510.993(a, \xi, \nu, \lambda)1510.06699_FO0948
1510.06699_FO0949511.000\phi^{-2}1510.06699_FO0949
1510.06699_FO0950510.967h_{a}{ }^{\mu}, A^{a b}{ }_{\mu}, B_{\mu}1510.06699_FO0950
1510.06699_FO0951511.000B_{\mu}, \phi1510.06699_FO0951
1510.06699_FO0952521.000\left(\tau_{\varphi}\right)^{a}{ }_{b}1510.06699_FO0952
1510.06699_FO0953521.000\left(\sigma_{\varphi}\right)_{a b}{ }^{c}1510.06699_FO0953
1510.06699_FO0954521.000\mathcal{D}_{a}^{*} \rightarrow \mathcal{D}_{a}, \mathcal{T}^{* c}{ }_{a b} \rightarrow \mathcal{T}^{c}{ }_{a b}1510.06699_FO0954
1510.06699_FO0955521.000\mathcal{T}_{a}^{*} \rightarrow \mathcal{T}_{a}1510.06699_FO0955
1510.06699_FO0956521.000\left(\zeta_{\varphi}\right)^{c}1510.06699_FO0956
1510.06699_FO0957521.000\left.\mathcal{D}_{a}^{*} \phi\right|_{\phi=\phi_{0}}=-\phi_{0} \mathcal{B}_{a}1510.06699_FO0957
1510.06699_FO0958521.000a=1 /\left(\kappa \phi_{0}^{2}\right)1510.06699_FO0958
1510.06699_FO0959521.000\Lambda=\lambda \phi_{0}^{2} / a=\kappa \lambda1510.06699_FO0959
1510.06699_FO0960521.000m^{2}=\nu \phi_{0}^{2} / \xi1510.06699_FO0960
1510.06699_FO0961531.000\mathcal{R}^{a b}{ }_{c d}, \mathcal{T}^{a}{ }_{b c}=\mathcal{T}^{* a}{ }_{b c}-\delta_{c}^{a} \mathcal{B}_{b}+\delta_{b}^{a} \mathcal{B}_{c}1510.06699_FO0961
1510.06699_FO0962531.000\left(\zeta_{\psi}\right)^{\mu}=01510.06699_FO0962
1510.06699_FO0963531.000\mathcal{T}_{a}=01510.06699_FO0963
1510.06699_FO0964531.000\tau_{\psi}=h^{-1} \mu \phi \bar{\psi} \psi1510.06699_FO0964
1510.06699_FO0965531.000m^{2} \equiv \nu \phi_{0}^{2} / \xi1510.06699_FO0965
1510.06699_FO0966531.000\mathcal{B}_{a}1510.06699_FO0966
1510.06699_FO0967531.000D_{\mu}^{*}=D_{\mu}+w B_{\mu}1510.06699_FO0967
1510.06699_FO0968541.000P_{\mu} \equiv \partial_{\mu} \rho1510.06699_FO0968
1510.06699_FO0969541.000(w=0)1510.06699_FO0969
1510.06699_FO0970541.000\mathcal{R}^{\dagger a b}{ }_{c d} \equiv h_{c}{ }^{\mu} h_{d}{ }^{\nu} R^{\dagger a b}{ }_{\mu \nu}1510.06699_FO0970
1510.06699_FO0971540.997D_{\mu}^{\natural} \varphi1510.06699_FO0971
1510.06699_FO0972541.000D_{\mu}^{\natural}1510.06699_FO0972
1510.06699_FO0973541.000\nu=\beta_{1}=\beta_{2}=01510.06699_FO0973
1510.06699_FO0974540.994\xi=\nu=\beta_{1}=\beta_{2}=01510.06699_FO0974
1510.06699_FO0975541.000\mathcal{D}_{a}^{\natural} \chi1510.06699_FO0975
1510.06699_FO0976541.000\mathcal{D}_{a}^{\dagger} \chi=h_{a}{ }^{\mu} D_{\mu}^{\dagger} \chi1510.06699_FO0976
1510.06699_FO0977540.991D_{\mu}^{\dagger}1510.06699_FO0977
1510.06699_FO0978540.997\left(U_{4}\right)1510.06699_FO0978
1510.06699_FO0979541.000\delta \varphi1510.06699_FO0979
1510.06699_FO0980541.000\left[\mathcal{D}_{c}, \mathcal{D}_{d}\right] \varphi \equiv \frac{1}{2} \mathcal{R}^{a b}{ }_{c d} \Sigma_{c d} \varphi-\mathcal{T}^{a}{ }_{c d} \mathcal{D}_{a} \varphi, \mathcal{R}^{a}{ }_{b} \equiv \mathcal{R}^{a c}{ }_{b c}1510.06699_FO0980
1510.06699_FO0981541.000\mathcal{T}_{a} \equiv \mathcal{T}^{b}{ }_{a b}1510.06699_FO0981
1510.06699_FO0982551.000\widehat{\mathcal{D}}_{a}^{*}1510.06699_FO0982
1510.06699_FO0983551.000\widehat{\mathcal{R}}^{a b}{ }_{c d}1510.06699_FO0983
1510.06699_FO0991550.926{ }^{\mathrm{a}}1510.06699_FO0991
1510.06699_FO0993550.820{ }^{\mathrm{a}}{ }^{\mathrm{b}}1510.06699_FO0993
1510.06699_FO0994550.666{ }^{\text {b }}1510.06699_FO0994
1510.06699_FO0995550.957{ }^{\mathrm{b}}1510.06699_FO0995
1510.06699_FO1002550.957\mathcal{T}^{a}{ }_{b c} \equiv 01510.06699_FO1002
1510.06699_FO1003550.998\mathcal{T}^{* a}{ }_{b c} \equiv 01510.06699_FO1003
1510.06699_FO1004551.000\mathcal{T}^{\dagger a}{ }_{b c} \equiv 01510.06699_FO1004
1510.06699_FO1017550.931{ }^{\mathrm{c}}1510.06699_FO1017
1510.06699_FO1018550.562{ }^{\text {c }}1510.06699_FO1018
1510.06699_FO1019550.999\mathcal{R}^{a}{ }_{b} \equiv \mathcal{R}^{a c}{ }_{b c}, \mathcal{R} \equiv \mathcal{R}^{a}{ }_{a}1510.06699_FO1019
1510.06699_FO1020550.999\mathcal{T}_{a}=\mathcal{T}^{b}{ }_{a b}1510.06699_FO1020
1510.06699_FO1021561.000S L(2, C)1510.06699_FO1021
1510.06699_FO1022561.000h^{\mu}{ }_{a} J_{\mu} \neq \mathcal{J}_{a}1510.06699_FO1022
1510.06699_FO1023561.000{ }^{0} \mathcal{A}_{a b c}1510.06699_FO1023
1510.06699_FO1024561.000\mathcal{K}_{a b c}1510.06699_FO1024
1510.06699_FO1025561.000{ }^{0} \mathcal{A}^{* a b}{ }_{c}=1510.06699_FO1025
1510.06699_FO1026561.000{ }^{0} \mathcal{A}^{a b}{ }_{c}+\delta_{c}^{a} \mathcal{B}^{b}-\delta_{c}^{b} \mathcal{B}^{a}1510.06699_FO1026
1510.06699_FO1027561.000\mathcal{K}^{* a b}{ }_{c}=\mathcal{K}^{a b}{ }_{c}-\delta_{c}^{a} \mathcal{B}^{b}+\delta_{c}^{b} \mathcal{B}^{a}1510.06699_FO1027
1510.06699_FO1028561.000t^{a}{ }_{\mu} \equiv h \delta \mathcal{L}_{\mathrm{G}} / \delta h_{a}{ }^{\mu}, s_{a b}{ }^{\mu} \equiv1510.06699_FO1028
1510.06699_FO1029561.000h \delta \mathcal{L}_{\mathrm{G}} / \delta A^{a b}{ }_{\mu}1510.06699_FO1029
1510.06699_FO1030561.000j^{\mu} \equiv h \delta \mathcal{L}_{\mathrm{G}} / \delta B_{\mu}1510.06699_FO1030
1510.06699_FO1031561.000\dot{R} \equiv1510.06699_FO1031
1510.06699_FO1032561.000\dot{x}^{\mu} \partial_{\mu} R \rightarrow \dot{v}^{a} \mathcal{D}_{a}^{*} R1510.06699_FO1032
1510.06699_FO1033560.994{ }^{77,78}1510.06699_FO1033
1510.06699_FO1034560.999\bar{\psi} \gamma^{a}{ }^{0} \stackrel{\leftrightarrow}{\mathcal{D}}_{a}^{*} \psi=\bar{\psi} \gamma^{a}{ }^{0} \stackrel{\leftrightarrow}{\mathcal{D}}_{a} \psi1510.06699_FO1034
1510.06699_FO1035561.000\theta(x)1510.06699_FO1035
1510.06699_FO1036571.000D_{\mu}^{\dagger} \varphi=1510.06699_FO1036
1510.06699_FO1037571.000\left[D_{\mu}+\frac{1}{2}\left(\mathcal{V}^{a} b^{b}{ }_{\mu}-\mathcal{V}^{b} b^{a}{ }_{\mu}\right) \Sigma_{a b}-w V_{\mu}-\frac{1}{3} w T_{\mu}\right] \varphi1510.06699_FO1037
1510.06699_FO1038571.000D_{\mu}^{*} \varphi=\left(D_{\mu}+w B_{\mu}\right) \varphi1510.06699_FO1038
1510.06699_FO1039570.995{ }^{0} \mathcal{A}^{\dagger a b}{ }_{c}={ }^{0} \mathcal{A}^{a b}{ }_{c}-\delta_{c}^{a}\left(\mathcal{V}^{b}+\frac{1}{3} \mathcal{T}^{b}\right)+\delta_{c}^{b}\left(\mathcal{V}^{a}+\right.1510.06699_FO1039
1510.06699_FO1040570.600\frac{1}{3} \mathcal{T}^{a}1510.06699_FO1040
1510.06699_FO1041570.600\mathcal{K}^{\dagger a b}{ }_{c}=\mathcal{K}^{a b}{ }_{c}+\frac{1}{3} \delta_{c}^{a} \mathcal{T}^{b}-\frac{1}{3} \delta_{c}^{b} \mathcal{T}^{a}1510.06699_FO1041
1510.06699_FO1042570.965\bar{\psi} \gamma^{a}{ }^{0} \mathcal{D}_{a}^{\dagger} \psi=\bar{\psi} \gamma^{a}{ }^{0} \stackrel{\leftrightarrow}{\mathcal{D}}_{a} \psi1510.06699_FO1042
1510.06699_FO1043571.000\nabla_{\sigma} g_{\mu \nu}=1510.06699_FO1043
1510.06699_FO1044571.000-\frac{1}{2}\left(\Gamma^{\lambda}{ }_{\lambda \sigma}-{ }^{0} \Gamma^{\lambda}{ }_{\lambda \sigma}\right) g_{\mu \nu}1510.06699_FO1044
1510.06699_FO1045571.000L_{\mathcal{R}^{2}}=1510.06699_FO1045
1510.06699_FO1046571.000\alpha_{1} \mathcal{R}^{\dagger 2}+\alpha_{2}^{\prime} \mathcal{R}_{(a b)}^{\dagger} \mathcal{R}^{\dagger(a b)}+\alpha_{3}^{\prime} \mathcal{R}_{[a b]}^{\dagger} \mathcal{R}^{\dagger[a b]}+\alpha_{4}^{\prime} \mathcal{R}_{a(b c) d}^{\dagger} \mathcal{R}^{\dagger a(b c) d}+1510.06699_FO1046
1510.06699_FO1047571.000\alpha_{5}^{\prime} \mathcal{R}_{a[b c] d}^{\dagger} \mathcal{R}^{\dagger a[b c] d}+\alpha_{6} \mathcal{R}_{a b c d}^{\dagger} \mathcal{R}^{\dagger c d a b}1510.06699_FO1047
1510.06699_FO1048570.994\alpha_{2}^{\prime}=\alpha_{2}+\alpha_{3}, \alpha_{3}^{\prime}=\alpha_{2}-\alpha_{3}, \alpha_{4}^{\prime}=\alpha_{4}+\alpha_{5}1510.06699_FO1048
1510.06699_FO1049570.994\alpha_{5}^{\prime}=\alpha_{4}-\alpha_{5}1510.06699_FO1049
1510.06699_FO1050571.000\alpha_{2}^{\prime}=\alpha_{3}^{\prime}1510.06699_FO1050
1510.06699_FO1051570.999L_{\mathcal{T}^{2}}=\beta_{1}^{\prime} \mathcal{T}_{(a b) c}^{\dagger} \mathcal{T}^{\dagger(a b) c}+\beta_{2}^{\prime} \mathcal{T}_{[a b] c}^{\dagger} \mathcal{T}^{\dagger[a b] c}1510.06699_FO1051
1510.06699_FO1052570.998\beta_{1}^{\prime}=\beta_{1}+\beta_{2}1510.06699_FO1052
1510.06699_FO1053570.998\beta_{2}^{\prime}=\beta_{1}-\beta_{2}1510.06699_FO1053
1510.06699_FO1054571.000S_{\mathrm{T}}=S_{\mathrm{G}}+S_{\mathrm{M}}1510.06699_FO1054
1510.06699_FO1055570.999{ }^{0} \mathcal{R}^{* a b}{ }_{c d}={ }^{0} \mathcal{R}^{a b}{ }_{c d}-2 \delta_{d}^{[b}\left({ }^{0} \mathcal{D}_{c}-\mathcal{B}_{c}\right) \mathcal{B}^{a]}+1510.06699_FO1055
1510.06699_FO1056571.0002 \delta_{c}^{[b}\left({ }^{0} \mathcal{D}_{d}-\mathcal{B}_{d}\right) \mathcal{B}^{a]}-2 \mathcal{B}^{e} \mathcal{B}_{e} \delta_{c}^{[a} \delta_{d}^{b]}1510.06699_FO1056
1510.06699_FO1057571.000{ }^{0} \mathcal{R}^{* a}{ }_{c}={ }^{0} \mathcal{R}^{a}{ }_{c}-2\left({ }^{0} \mathcal{D}_{c}-\mathcal{B}_{c}\right) \mathcal{B}^{a}-1510.06699_FO1057
1510.06699_FO1058571.000\left({ }^{0} \mathcal{D}_{e}+2 \mathcal{B}_{e}\right) \mathcal{B}^{e} \delta_{c}^{a}1510.06699_FO1058
1510.06699_FO1059571.000{ }^{0} \mathcal{R}^{*}={ }^{0} \mathcal{R}-6\left({ }^{0} \mathcal{D}_{e}+\mathcal{B}_{e}\right) \mathcal{B}^{e}1510.06699_FO1059
1510.06699_FO1060570.996{ }^{0} \mathcal{R}^{* a b}{ }_{c d} \rightarrow{ }^{0} \mathcal{R}^{\dagger a b}{ }_{c d}1510.06699_FO1060
1510.06699_FO1061570.996\mathcal{B}_{a} \rightarrow-\left(\mathcal{V}_{a}+\frac{1}{3} \mathcal{T}_{a}\right)1510.06699_FO1061
1510.06699_FO1062571.000{ }^{0} \mathcal{R}^{*}1510.06699_FO1062