Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole

Details Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole

2005-03-04

arxiv.org/abs/gr-qc/0503022v4

Class.Quant.Grav.22:R85-R124,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

50 pages, LaTeX; draft of review article -- comments, corrections, additions, complaints welcomed; v2: more and better referen

Scientific paper

10.1088/0264-9381/22/12/R01

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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