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Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
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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 6 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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Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
For regular BTZ black holes from an infinite Lovelock tower, scalar quasinormal modes bifurcate from complex BTZ branches into purely imaginary branches as the regularization length ℓ grows, producing mode switching a...
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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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On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity
In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.
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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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