Entropy of 2D black holes from counting microstates

TL;DR

This paper derives the entropy of 2D black holes in Jackiw-Teitelboim theory microscopically by analyzing asymptotic symmetries and applying Cardy's formula, showing agreement with thermodynamic entropy up to a factor.

Contribution

It provides a microscopic derivation of 2D black hole entropy using asymptotic symmetry analysis and conformal field theory techniques.

Findings

Asymptotic symmetry of 2D AdS space is generated by a Virasoro algebra with a central extension.

The statistical entropy calculated matches thermodynamic entropy up to a factor of √2.

The approach confirms the microscopic origin of black hole entropy in 2D gravity models.

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.