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4,408
Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale “holographically ” with the volume of its horizon
Large N field theories, string theory and gravity
, 2001
"... We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evide ..."
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Cited by 1443 (45 self)
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theories in other dimensions, conformal and nonconformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
Black hole entropy from nearhorizon microstates,
 JHEP 9802,
, 1998
"... Abstract: Black holes whose nearhorizon geometries are locally, but not necessarily globally, AdS 3 (threedimensional antide Sitter space) are considered. Using the fact that quantum gravity on AdS 3 is a conformal field theory, we microscopically compute the black hole entropy from the asymptot ..."
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Cited by 284 (6 self)
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Abstract: Black holes whose nearhorizon geometries are locally, but not necessarily globally, AdS 3 (threedimensional antide Sitter space) are considered. Using the fact that quantum gravity on AdS 3 is a conformal field theory, we microscopically compute the black hole entropy from
Breaking an Abelian gauge symmetry near a black hole horizon
, 2008
"... I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct. ..."
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Cited by 274 (8 self)
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I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.
AdS3 Black Holes and a Stringy Exclusion Principle
, 1998
"... The duality relating nearhorizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2, R)L ⊗ SL(2, R)R invariant vacuum on AdS3 corresponds to the NSNS vacuum of the conformal field theory. The effect of the ..."
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Cited by 322 (25 self)
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The duality relating nearhorizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2, R)L ⊗ SL(2, R)R invariant vacuum on AdS3 corresponds to the NSNS vacuum of the conformal field theory. The effect
Quantum Geometry of Isolated Horizons and Black Hole Entropy
, 2000
"... Using the classical Hamiltonian framework of [1] as the point of departure, we carry out a nonperturbative quantization of the sector of general relativity, coupled to matter, admitting nonrotating isolated horizons as inner boundaries. The emphasis is on the quantum geometry of the horizon. Polym ..."
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Cited by 72 (4 self)
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for the overall curvature. For macroscopic black holes, the logarithm of the number of these horizon microstates is proportional to the area, irrespective of the values of (nongravitational) charges. Thus, the black hole entropy can be accounted for entirely by the quantum states of the horizon geometry. Our
Nearhorizon symmetries of extremal black holes
, 2008
"... Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a nearhorizon SO(2, 1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional so ..."
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Cited by 114 (8 self)
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Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a nearhorizon SO(2, 1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional
Quasilocal black hole horizons
, 2013
"... This article introduces the subject of quasilocal horizons at a level suitable for physics graduate students who have taken a first course on general relativity. It reviews properties of trapped surfaces and trapped regions in some simple examples, general properties of trapped surfaces including t ..."
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Cited by 1 (0 self)
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This article introduces the subject of quasilocal horizons at a level suitable for physics graduate students who have taken a first course on general relativity. It reviews properties of trapped surfaces and trapped regions in some simple examples, general properties of trapped surfaces including
Black holes and critical points in moduli space, Nucl. Phys. B500
, 1997
"... We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4dimensional theory is described by special geometry, the generic properties of the critical points of this potent ..."
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Cited by 190 (23 self)
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We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4dimensional theory is described by special geometry, the generic properties of the critical points
Quantum Thermodynamics of Black Hole Horizons
, 2005
"... Abstract. Exploiting results recently proved in a technical paper (and some of them are reviewed herein in the language of theoretical physicists) we focus on quantization of the metric of a black hole restricted to the Killing horizon with universal radius r0. The metric is represented in a suitabl ..."
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Abstract. Exploiting results recently proved in a technical paper (and some of them are reviewed herein in the language of theoretical physicists) we focus on quantization of the metric of a black hole restricted to the Killing horizon with universal radius r0. The metric is represented in a
Results 1  10
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4,408