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Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
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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.
Forward citations
Cited by 4 Pith papers
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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
Exact finite-cutoff radial flow in 3D gravity realizes T̄T deformation, boundary dynamics is integrable via inverse scattering, but the radial flow itself is non-Hamiltonian.
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Strings near BTZ black holes: A Carrollian Chronicle
The paper classifies families of closed bosonic string solutions in the near-horizon non-extremal BTZ spacetime and identifies novel features via string-Carroll expansion.
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Holonomies and Boundary Symmetries in the Discrete Warped Chern-Simons Gravity
The paper derives a discrete entropy formula for warped black holes directly from SL(2,R) x U(1) boundary monodromy invariants that recovers the continuum warped thermodynamics in the large-lattice limit.
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
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