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}
}
  • 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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References

SHOWING 1-10 OF 223 REFERENCES
Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
  • S. Carlip
  • Physics
    Living reviews in relativity
  • 2005
TLDR
A summary of the rather large body of work that has gone towards quantizing (2 + 1)-dimensional vacuum gravity in the setting of a spatially closed universe is summarized.
Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions.
TLDR
It is shown that the dynamical variables of the black hole arise from the possibility of a deficit angle at the (Euclidean) horizon, and briefly speculate as to how they may provide a basis for a statistical picture of black hole thermodynamics.
The (2 + 1)-dimensional black hole
I review the classical and quantum properties of the (2 + 1)-dimensional black hole of Banados, Teitelboim and Zanelli. This solution of the Einstein field equations in three spacetime dimensions
Black hole in three-dimensional spacetime.
TLDR
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution that appears as a negative energy state separated by a mass gap from the continuous black hole spectrum.
Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity
A quantum theory for scalar particles interacting only gravitationally in 2+1 dimensions is considered. Since there are no real gravitons the interaction is entirely topological. Nevertheless, there
Black holes in three-dimensional topological gravity.
TLDR
It is found that the theory with topological matter reverses the identification of energy and angular momentum with the parameters in the metric, compared with general relativity, and that the entropy is determined by the circumference of the inner rather than the outer horizon.
Black holes and asymptotics of 2 + 1 gravity coupled to a scalar field
We consider $2+1$ gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is
...
1
2
3
4
5
...