Black Hole Entropy from Horizon Conformal Field Theory

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, LaTeX; talk given at QG99,``Constrained Dynamics and Quantum Gravity,'' Villasimius, Sept. 1999

Scientific paper

10.1016/S0920-5632(00)00748-9

String theory and ``quantum geometry'' have recently offered independent statistical mechanical explanations of black hole thermodynamics. But these successes raise a new problem: why should models with such different microscopic degrees of freedom yield identical results? I propose that the asymptotic behavior of the density of states at a black hole horizon may be determined by an underlying symmetry inherited from classical general relativity, independent of the details of quantum gravity. I offer evidence that a two-dimensional conformal symmetry at the horizon, with a classical central extension, may provide the needed behavior.

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