BTZ entropy from topological M-theory
High Energy Physics - Theory
2021-04-14 v1 General Relativity and Quantum Cosmology
Abstract
By determining the relation between topological M-theory and the Chern-Simons actions for a gauge field constructed from the Lie algebra of either SL(2,R)x SL(2,R) or SL(2,C)x SL(2,C), depending on the sign of the space-time curvature, we show that the standard and exotic actions of 3-dimensional gravity can be recovered from topological M-theory. With this result, we provide a concrete realisation of a conjecture by Dijkgraaf et al. stating that the partition function of topological M-theory is equivalent to the partition function of a black hole in a related theory. We do this for the standard and exotic BTZ black holes in 3-dimensional gravity.
Cite
@article{arxiv.2011.01094,
title = {BTZ entropy from topological M-theory},
author = {Javier Chagoya and Graciela Reyes-Ahumada and M. Sabido},
journal= {arXiv preprint arXiv:2011.01094},
year = {2021}
}
Comments
7 pages