English

Entropy of 2D black holes from counting microstates

High Energy Physics - Theory 2009-12-30 v2 General Relativity and Quantum Cosmology

Abstract

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 2\sqrt 2, with the thermodynamical result.

Keywords

Cite

@article{arxiv.hep-th/9810251,
  title  = {Entropy of 2D black holes from counting microstates},
  author = {Mariano Cadoni and Salvatore Mignemi},
  journal= {arXiv preprint arXiv:hep-th/9810251},
  year   = {2009}
}

Comments

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