Kerr-CFT From Black-Hole Thermodynamics
Abstract
We analyze the near-horizon limit of a general black hole with two commuting killing vector fields in the limit of zero temperature. We use black hole thermodynamics methods to relate asymptotic charges of the complete spacetime to those obtained in the near-horizon limit. We then show that some diffeomorphisms do alter asymptotic charges of the full spacetime, even though they are defined in the near horizon limit and, therefore, count black hole states. We show that these conditions are essentially the same as considered in the Kerr/CFT corresponcence. From the algebra constructed from these diffeomorphisms, one can extract its central charge and then obtain the black hole entropy by use of Cardy's formula.
Cite
@article{arxiv.1006.0510,
title = {Kerr-CFT From Black-Hole Thermodynamics},
author = {Bruno Carneiro da Cunha and Amilcar R. de Queiroz},
journal= {arXiv preprint arXiv:1006.0510},
year = {2014}
}
Comments
19 pages, JHEP3, no figures. V2: References added, small typos fixed