%0 Generic %1 Azeyanagi2015Holographic %A Azeyanagi, Tatsuo %A Loganayagam, R. %A Ng, Gim S. %D 2015 %K anomalies, chern-simons, entanglement %T Holographic Entanglement for Chern-Simons Terms %U http://arxiv.org/abs/1507.02298 %X We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS\$\_2k+1\$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic replica geometry and second by a descent of Dong's derivation applied to the corresponding anomaly polynomial. In lower dimensions \$(k=1,2)\$, the formula coincides with the Wald-Tachikawa formula for black hole entropy from gravitational CS terms. New extrinsic curvature corrections appear for \$k3\$ : we give explicit and concise expressions for the two pure gravitational CS terms in AdS\$\_7\$ and present various consistency checks.

@misc{Azeyanagi2015Holographic, abstract = {We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS\$\_{2k+1}\$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic replica geometry and second by a descent of Dong's derivation applied to the corresponding anomaly polynomial. In lower dimensions \$(k=1,2)\$, the formula coincides with the Wald-Tachikawa formula for black hole entropy from gravitational CS terms. New extrinsic curvature corrections appear for \$k\geq 3\$ : we give explicit and concise expressions for the two pure gravitational CS terms in AdS\$\_7\$ and present various consistency checks.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Azeyanagi, Tatsuo and Loganayagam, R. and Ng, Gim S.}, biburl = {https://www.bibsonomy.org/bibtex/20bd02a8c16ed7fb4621f14d57d747863/acastro}, citeulike-article-id = {13669045}, citeulike-linkout-0 = {http://arxiv.org/abs/1507.02298}, citeulike-linkout-1 = {http://arxiv.org/pdf/1507.02298}, day = 8, eprint = {1507.02298}, interhash = {538585b61470bbbf901b65248c12d7b9}, intrahash = {0bd02a8c16ed7fb4621f14d57d747863}, keywords = {anomalies, chern-simons, entanglement}, month = jul, posted-at = {2015-07-10 08:59:21}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Holographic Entanglement for Chern-Simons Terms}}, url = {http://arxiv.org/abs/1507.02298}, year = 2015 }