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

  title={Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole},
  author={Steven Carlip},
  journal={Classical and Quantum Gravity},
  pages={R85 - R123}
  • S. Carlip
  • Published 4 March 2005
  • Physics
  • Classical and Quantum Gravity
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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