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Black Hole Entropy from Near-Horizon Microstates

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arxiv hep-th/9712251 v3 pith:3CPI4KYU submitted 1997-12-30 hep-th gr-qc

classification hep-thgr-qc
keywords blackentropytheorygravityholenear-horizonquantumagreement
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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