Three-dimensional quantum geometry and black holes
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In this article, the authors present a general solution to the classical equations of motion with anti-de Sitter boundary conditions, parametrized by two functions which become Virasoro operators after quantisation.Abstract:
We review some aspects of three-dimensional quantum gravity with emphasis in the `CFT -> Geometry' map that follows from the Brown-Henneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter boundary conditions is displayed. This solution is parametrized by two functions which become Virasoro operators after quantisation. A map from the space of states to the space of classical solutions is exhibited. Some recent proposals to understand the Bekenstein-Hawking entropy are reviewed in this context. The origin of the boundary degrees of freedom arising in 2+1 gravity is analysed in detail using a Hamiltonian Chern-Simons formalism.read more
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
Journal ArticleDOI
An AdS_3 Dual for Minimal Model CFTs
TL;DR: In this paper, a duality between the 2d conformal field theories and higher spin theories on the large $N$ 't Hooft limit was proposed. But the duality was not proved for the Singlet sector of large vector models.
Journal ArticleDOI
Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
TL;DR: In this paper, the emergence of higher-spin fields coupled to three-dimensional Einstein gravity with a negative cosmological constant is discussed, where the authors focus on models involving a finite number of bosonic higher spin fields and especially on the example provided by a spin-3 field to gravity.
Journal ArticleDOI
Black holes in three dimensional higher spin gravity: a review
TL;DR: In this paper, a review of recent progress in the construction of black holes in three-dimensional higher spin gravity theories is presented, starting from spin-3 gravity and working their way toward the theory of an infinite tower of higher spins coupled to matter.
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Minimal model holography
TL;DR: In this article, the duality relating 2D WN minimal model conformal field theories, in a large-N 't Hooft like limit, to higher spin gravitational theories on AdS3 is discussed.
References
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Book
Quantization of Gauge Systems
Marc Henneaux,Claudio Teitelboim +1 more
TL;DR: In this paper, a systematic study of the classical and quantum theories of gauge systems is presented, starting with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems, and the classical foundations of BRST theory are laid out with a review of the necessary concepts from homological algebra.
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AdS3 black holes and a stringy exclusion principle
Juan Maldacena,Andrew Strominger +1 more
TL;DR: In this article, the duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail.
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Quantum Gravity in 2+1 Dimensions
TL;DR: In this paper, a field guide to the (2+1)-dimensional spacetimes is given, along with the topology of manifolds and the ( 2+1)dimensional black hole.
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Boundary dynamics and the statistical mechanics of the (2+1)-dimensional black hole
TL;DR: In this paper, the density of states of the 2 + 1-dimensional BTZ black hole in the micro-and grand-canonical ensembles was calculated, based on the relation between 2+1-dimensional quantum gravity and quantised Chern-Simons theory.
Posted Content
Comments on String Theory on $AdS_3$
TL;DR: In this article, the authors derived the spacetime CFT and its Virasoro and current algebras, thus establishing the conjectured $AdS$/CFT correspondence for this case in the full string theory.
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