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The Statistical Mechanics of the Three-Dimensional Euclidean Black Hole

Steven Carlip
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Abstract

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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BibTeXRIS

Steven Carlip. 1996-10-08. The Statistical Mechanics of the Three-Dimensional Euclidean Black Hole. https://doi.org/10.1103/physrevd.55.878

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