Black hole entropy in the presence of Chern–Simons terms

By Yuji Tachikawa. Classical and quantum gravity, 2006

180 citations recorded by the source corpus.

We derive a formula for the black hole entropy in theories with gravitational Chern–Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the presence of the Chern–Simons term, which was previously obtained via indirect methods.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/25446c568ccbd9717b9bbfd33d3aa177e895f894

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In Applied Mathematics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Constraints on fluid dynamics from equilibrium partition functions (2012, background): “The usual Wald entropy gets modified in the presence of such Chern-Simons terms[53, 54] which are usually a part of higher derivative corrections to gravity.”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “(8)For some recent work on application of Wald’s formula in the presence of Chern-Simons term see [43].”
Adiabatic hydrodynamics: the eightfold way to dissipation (2015, background): “• Class HV : In the holographic context demonstrate how HV terms arise from the extension of the Noether procedure of [73] by [106] to account for the presence of ChernSimons interactions, i.”
Chiral gravity in three dimensions (2008, background): “In terms of these the macroscopic formula for the entropy, including a contribution from the Chern-Simons term, is [25] [26] [27].”
Central charges in extreme black hole/CFT correspondence (2009, unknown): “8) Here, following [23], let us define Πǫ through the equation δǫΘ(δΦ,Φ) = LξΘ(δΦ,Φ) + Πǫ(δΦ,Φ) .”