Entropy of 2D black holes from counting microstates

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 $\sqrt{2}$, with the thermodynamical result.

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

References in corpus (3)

• Black Hole Entropy from Near-Horizon Microstates
• AdS2 Quantum Gravity and String Theory
• What We Don't Know about BTZ Black Hole Entropy

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