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

@article{Carlip2005ConformalFT, title={Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole}, author={Steven Carlip}, journal={Classical and Quantum Gravity}, year={2005}, volume={22}, pages={R85 - R123} }

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.

## 220 Citations

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The well-known (2 + 1)-dimensional Reissner-Nordström (BTZ) black hole can be generalized to three dimensional Einstein-nonlinear electromagnetic field, motivated from obtaining a finite value for…

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We consider the most general asymptotically anti-de Sitter boundary conditions in three-dimensional Einstein gravity with negative cosmological constant. The metric contains in total twelve…

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