Anomalies, Chern-Simons terms and black hole entropy

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Abstract

Abstract: Recent derivations of Cardy-like formulae in higher dimensional field theories have opened up a way of computing, via AdS/CFT, universal contributions to black hole entropy from gravitational Chern-Simons terms. Based on the manifestly covariant formulation of the differential Noether charge for Chern-Simons terms proposed in [1], we compute the entropy and asymptotic charges for the rotating charged AdS black holes in higher dimensions at leading order of the fluid/gravity derivative expansion in the EinsteinMaxwell-Chern-Simons system. This gives a result that exactly matches the field theory predictions from Cardy-like formulae.

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Azeyanagi, T., Loganayagam, R., & Ng, G. S. (2015). Anomalies, Chern-Simons terms and black hole entropy. Journal of High Energy Physics, 2015(9). https://doi.org/10.1007/JHEP09(2015)121

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