# Entropy of 2D black holes from counting microstates

@article{Cadoni1999EntropyO2, title={Entropy of 2D black holes from counting microstates}, author={Mariano Cadoni and S. Mignemi}, journal={Physical Review D}, year={1999}, volume={59}, pages={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\char21{}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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