Black Hole Entropy from Near-Horizon Microstates

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, harvmac. Minor corrections, references

Scientific paper

10.1088/1126-6708/1998/02/009

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is found. The result pertains to any consistent quantum theory of gravity, and does not use string theory or supersymmetry.

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