Anomalies, Chern-Simons Terms and Black Hole Entropy

TL;DR

This paper computes black hole entropy and charges in higher-dimensional AdS black holes with Chern-Simons terms, confirming field theory predictions from Cardy-like formulas using a covariant Noether charge approach.

Contribution

It introduces a covariant formulation for calculating entropy and charges in higher-dimensional Chern-Simons gravity, matching field theory results.

Findings

Exact match with field theory Cardy-like predictions

First computation of entropy for rotating charged AdS black holes with Chern-Simons terms

Validates covariant Noether charge method for higher-dimensional gravity

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 arXiv:1407.6364, 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 Einstein-Maxwell-Chern-Simons system. This gives a result that exactly matches the field theory predictions from Cardy-like formulae.