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arXiv · 2011.01094

BTZ entropy from topological M-theory

Javier Chagoya·Graciela Reyes-Ahumada·M. Sabido
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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.

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Javier Chagoya, Graciela Reyes-Ahumada, M. Sabido. 2020-11-02. BTZ entropy from topological M-theory. https://doi.org/10.1103/physrevd.103.084009

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