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

2005/03/31 by S. Carlip, S Carlip · 10 citations
Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Conformal field theory #Conformal map #Context (archaeology) #General relativity #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum field theory in curved spacetime #Quantum gravity #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/22/12/r01

published as Class.Quant.Grav.22:R85-R124,2005 · 50 pages, LaTeX; draft of review article -- comments, corrections, additions, complaints welcomed; v2: more and better references, minor additions; v3: more references; v4: minor typos corrected to match published version

openalex publication_date 2005/06/03 · arxiv created 2005/06/06 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Λ < 0 quantum gravity in 2 plus 1 dimensions: II. Black-hole creation by point particles
• Quantum Gravity in 2+1 Dimensions
• Black hole in three-dimensional spacetime
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• Irreducible Unitary Representations of the Lorentz Group
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• (2+1)-dimensional stars
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• Logarithmic corrections to black hole entropy, from the Cardy formula
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• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes and Entropy
• Holography beyond the horizon and cosmic censorship
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Geometry of the 2+1 Black Hole
• Embeddings of the Virasoro Algebra and Black Hole Entropy
• Supersymmetry of the (2+1)-dimensional black holes
• The large N limit of superconformal field theories and supergravity

Cited by

• Black Hole Thermodynamics from Euclidean Horizon Constraints
• Horizons, Constraints, and Black Hole Entropy
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Covariant description of the black hole entropy in 3D gravity
• Quantum gravity partition functions in three dimensions
• Conformal boundary conditions, loop gravity and the continuum
• String theory on warped AdS3 and Virasoro resonances
• Self-dual Maxwell field in 3D gravity with torsion
• Stability of warpedAdS3black holes in topologically massive gravity under scalar perturbations
• Noether Current of the Surface Term of Einstein-Hilbert Action, Virasoro Algebra, and Entropy