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arxiv: hep-th/9812013 · v3 · submitted 1998-12-01 · ✦ hep-th · gr-qc

Black Hole Entropy from Conformal Field Theory in Any Dimension

S. Carlip This is my paper
classification ✦ hep-th gr-qc
keywords blackholetheoryconformalentropyfieldmustquantum
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Restricted to a black hole horizon, the ``gauge'' algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly, i.e., they must admit a conformal field theory description. Applying Cardy's formula for the asymptotic density of states, I use this result to derive the Bekenstein-Hawking entropy. This method is universal---it holds for any black hole, and requires no details of quantum gravity---but it is also explicitly statistical mechanical, based on counting microscopic states.

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