What We Don't Know about BTZ Black Hole Entropy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, LaTeX, no figures; references added, brief discussion of relation to string theory added; to appear in Class. Quant.

Scientific paper

10.1088/0264-9381/15/11/020

With the recent discovery that many aspects of black hole thermodynamics can be effectively reduced to problems in three spacetime dimensions, it has become increasingly important to understand the ``statistical mechanics'' of the (2+1)-dimensional black hole of Banados, Teitelboim, and Zanelli (BTZ). Several conformal field theoretic derivations of the BTZ entropy exist, but none is completely satisfactory, and many questions remain open: there is no consensus as to what fields provide the relevant degrees of freedom or where these excitations live. In this paper, I review some of the unresolved problems and suggest avenues for their solution.

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