The Statistical Mechanics of the Three-Dimensional Euclidean Black Hole

Details The Statistical Mechanics of the Three-Dimensional Euclidean Black Hole The Statistical Mechanics of the Three-Dimensional Euclidean Black Hole

1996-06-17

arxiv.org/abs/gr-qc/9606043v2

Phys.Rev.D55:878-882,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX. Significant sign error corrected, continuation to Lorentzian signature clarified, several other clarifications

Scientific paper

10.1103/PhysRevD.55.878

In its formulation as a Chern-Simons theory, three-dimensional general relativity induces a Wess-Zumino-Witten 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.

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