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

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.

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

References in corpus (10)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Correlation Functions in Holographic RG Flows
• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• Beyond the veil: Inner horizon instability and holography
• Horizon constraints and black hole entropy
• Horizon Constraints and Black Hole Entropy
• Poincare Recurrences and Topological Diversity
• Restoring Unitarity in BTZ Black Hole
• The Holographic Ward identity: Examples from 2+1 gravity
• Conformal entropy as a consequence of the properties of stationary Killing horizons

Cited by in corpus (208)

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• Black Holes in Loop Quantum Gravity
• Edge modes of gravity -- I: Corner potentials and charges
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• Enhanced asymptotic symmetry algebra of AdS3
• Conformal Bootstrap, Universality and Gravitational Scattering
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• Higher spin gravity in 3D: black holes, global charges and thermodynamics
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• Quasi-local holographic dualities in non-perturbative 3d quantum gravity II - From coherent quantum boundaries to BMS3 characters
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• Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity
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• (2+1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model
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• Strings near BTZ black holes: A Carrollian Chronicle
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