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TOPICAL REVIEW

Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole

Published 3 June 2005 2005 IOP Publishing Ltd
, , Citation S Carlip 2005 Class. Quantum Grav. 22 R85 DOI 10.1088/0264-9381/22/12/R01

0264-9381/22/12/R85

Abstract

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the 'boundary' of spacetime. I review what is known about this reduction—mainly within the context of pure (2 + 1)-dimensional gravity—and discuss its implications for our understanding of the statistical mechanics and quantum mechanics of black holes.

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10.1088/0264-9381/22/12/R01