Entropy of 2D black holes from counting microstates

Details Entropy of 2D black holes from counting microstates Entropy of 2D black holes from counting microstates

1998-10-30

arxiv.org/abs/hep-th/9810251v2

Phys.Rev.D59:081501,1999

Physics

High Energy Physics

High Energy Physics - Theory

final version, accepted for publication on Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.081501

We present a microscopical derivation of the entropy of the black hole solutions of the Jackiw-Teitelboim theory. We show that the asymptotic symmetry of two-dimensional (2D) Anti-de Sitter space is generated by a central extension of the Virasoro algebra. Using a canonical realization of this symmetry and Cardy's formula we calculate the statistical entropy of 2D black holes, which turns out to agree, up to a factor $\sqrt 2$, with the thermodynamical result.

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