Holographic entanglement for Chern-Simons terms

DOI10.1007/JHEP02(2017)001zbMATH Open1377.58019arXiv1507.02298MaRDI QIDQ1692747

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Publication date: 10 January 2018

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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 $kgeq3$ : we give explicit and concise expressions for the two pure gravitational CS terms in AdS${}_7$ and present various consistency checks, including agreements with the black hole entropy formula when evaluated at the bifurcation surface.

Full work available at URL: https://arxiv.org/abs/1507.02298

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