Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
By Steven Carlip. 2005
271 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3d9cd73cc98fb00b4c3ff279188f857747dc814e
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
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Citations in the corpus
- Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT (2017, background): “It is also useful to remember that connections between Liouville theory and 3D AdS gravity were discussed in earlier papers [54–61] (refer to [62] for a review).”
- Three-Dimensional Gravity Revisited (2007, background): “has been studied from many points of view (see [1-3] for some early developments and [4] for a recent review and references), but its status is fundamentally unclear.”
- Higher spin gravity in 3D: Black holes, global charges and thermodynamics (2012, unknown): “…formalism, the variation of the conserved charge associated to an asymptotic gauge symmetry generated by an algebra-valued parameter η = η+ + η− is given by δQ (η) = − k 2π ∫ ∂Σ (〈 η+δA+φ 〉 − 〈 η−δA−φ 〉) dφ , (6) where ∂Σ stands for the boundary of the spacelike section Σ (see e.g., [21–23]).”