corner
corner

Phys. Rev. D 59, 081501(R) (1999) [5 pages]

Entropy of 2D black holes from counting microstates

Download: PDF (112 kB) Buy this article Export: BibTeX or EndNote (RIS)

Mariano Cadoni*
Dipartimento di Fisica, Università di Cagliari, Cittadella Universitaria, 09042, Monserrato, Italy
Sezione di Cagliari, INFN, Cagliari, Italy

Salvatore Mignemi
Dipartimento di Matematica, Università di Cagliari, viale Merello 92, 09123, Cagliari, Italy
Sezione di Cagliari, INFN, Cagliari, Italy

Received 9 November 1998; published 5 March 1999

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, with the thermodynamical result.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.081501
DOI:
10.1103/PhysRevD.59.081501
PACS:
04.70.Dy, 04.50.+h

*Electronic address: cadoni@ca.infn.it

Electronic address: mignemi@ca.infn.it

See Also

Comment: Mu-In Park and Jae Hyung Yee, Comment on “Entropy of 2D black holes from counting microstates”, Phys. Rev. D 61, 088501 (2000).

Reply: Mariano Cadoni and Salvatore Mignemi, Reply to “Comment on ‘Entropy of 2D black holes from counting microstates’ ”, Phys. Rev. D 61, 088502 (2000).