Black Hole Entropy from Conformal Field Theory in Any Dimension

Details Black Hole Entropy from Conformal Field Theory in Any Dimension Black Hole Entropy from Conformal Field Theory in Any Dimension

1998-12-01

arxiv.org/abs/hep-th/9812013v3

Phys.Rev.Lett.82:2828-2831,1999

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, no figures. Slightly shortened and polished for journal; no significant changes in substance

Scientific paper

10.1103/PhysRevLett.82.2828

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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