Holographic Entanglement for Chern-Simons Terms

2015/07/08 by Azeyanagi, Tatsuo, Loganayagam, R., Ng, Gim Seng
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1507.02298

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≥ 3 : we give explicit and concise expressions for the two pure gravitational CS terms in AdS₇ and present various consistency checks, including agreements with the black hole entropy formula when evaluated at the bifurcation surface.

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