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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 8 Pith papers
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Enhanced Conformal $BMS_3$ Symmetries
A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.
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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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Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
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Holonomies and Boundary Symmetries in the Discrete Warped Chern-Simons Gravity
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Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole
Geodesics of the Weinhold and Ruppeiner thermodynamic metrics are computed for the BTZ black hole and interpreted as optimal evaporation/accretion protocols.
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A framework for writing quantum corrections to the rotating BTZ black hole in coordinate-invariant form, with horizon regularity constraints and a general temperature formula.
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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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