Phys. Rev. D 55, 878–882 (1997)Statistical mechanics of the three-dimensional Euclidean black holeReceived 17 June 1996; published in the issue dated 15 January 1997 In its formulation as a Chern-Simons theory, three-dimensional general relativity induces a Wess-Zumino-Witten (WZW) action on spatial boundaries. Treating the horizon of the three-dimensional Euclidean black hole as a boundary, I count the states of the resulting WZW model, and show that when analytically continued back to Lorentzian signature, they yield the correct Bekenstein-Hawking entropy. The relevant states can be understood as “would-be gauge” degrees of freedom that become dynamical at the horizon. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.878
DOI:
10.1103/PhysRevD.55.878
PACS:
04.70.Dy, 04.60.Kz
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