Anomalies, Chern-Simons Terms and Black Hole Entropy

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.

22 pages + 77 pages of appendices; v2: minor corrections and JHEP version

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Cited by in corpus (6)

• Extended corner symmetry, charge bracket and Einstein's equations
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• Modular forms and a generalized Cardy formula in higher dimensions
• Entropy for gravitational Chern-Simons terms by squashed cone method
• Thermal Product Formula for Shear Modes
• Entanglement, anomalies and Mathisson's helices