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Black Hole Entropy Function, Attractors and Precision Counting of Microstates
, 2007
"... In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy of a class of quarter BPS dyons in N = 4 supersymmetric strin ..."
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Cited by 326 (28 self)
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In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy of a class of quarter BPS dyons in N = 4 supersymmetric string theories, and compare the statistical entropy of these dyons, expanded in inverse powers of electric and magnetic charges, with a similar expansion of the corresponding black hole entropy. This comparison is extended to include the contribution to the entropy from multicentered black holes as well.
Holographic Entanglement Entropy: An Overview
, 2009
"... In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications to confinement/deconfinement phase transitions, black hole ..."
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Cited by 124 (9 self)
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In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications to confinement/deconfinement phase transitions, black hole entropy and covariant formulation of holography.
Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
, 2007
"... We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entangl ..."
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Cited by 48 (9 self)
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We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.
Stationary black holes and attractor mechanism, Nucl. Phys. B794
, 2008
"... We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horiz ..."
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Cited by 38 (2 self)
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We investigate the symmetries of the near horizon geometry of extremal stationary black hole in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horizon geometry has SO(2, 1) × U(1) isometry. This compliments the rotating attractors proposal of hepth/0606244 which had assumed the presence of this isometry. The extremal solutions are classified into two families differentiated by the presence or absence of an ergoregion. We also comment on the attractor mechanism of both branches.
Domain Wall Holography for Finite Temperature Scaling Solutions
 JHEP
"... We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal hologr ..."
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Cited by 35 (1 self)
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We investigate a class of nearextremal solutions of EinsteinMaxwellscalar theory with electric charge and power law scaling, dual to charged IR phases of relativistic field theories at low temperature. These are exact solutions of theories with domain wall vacua; hence, we use nonconformal holography to relate the bulk and boundary theories. We numerically construct a global interpolating solution between the IR charged solutions and the UV domain wall vacua for arbitrary physical choices of Lagrangian parameters. By passing to a conformal frame in which the domain wall metric becomes that of AdS, we uncover a generalized scale invariance of the IR scaling solution, indicating a connection to the physics of Lifshitz fixed points. Finally, guided by effective field theoretic principles and the physics of nonconformal Dbranes, we argue for the applicability of domain wall holography even in theories with AdS critical points, namely those theories for which a scalar potential is dominated by a single exponential term over a large range.
Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
, 2008
"... We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of ..."
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Cited by 34 (9 self)
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We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of string theory on the near horizon geometry, – named the quantum entropy function. In the classical limit this reduces to the usual relation between statistical
Nearhorizon geometries of supersymmetric AdS(5) black holes
 JHEP 12 (2007) 015; [arXiv:0708.3695]. 16 Hari K. Kunduri, James Lucietti and Harvey S. Reall, Supersymmetric multicharge AdS5 black holes, JHEP 04 (2006) 036; [hepth/0601156
"... We provide a classification of nearhorizon geometries of supersymmetric, asymptotically antide Sitter, black holes of fivedimensional U(1) 3gauged supergravity which admit two rotational symmetries. We find three possibilities: a topologically spherical horizon, an S 1 × S 2 horizon and a toroida ..."
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Cited by 27 (4 self)
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We provide a classification of nearhorizon geometries of supersymmetric, asymptotically antide Sitter, black holes of fivedimensional U(1) 3gauged supergravity which admit two rotational symmetries. We find three possibilities: a topologically spherical horizon, an S 1 × S 2 horizon and a toroidal horizon. The nearhorizon geometry of the topologically spherical case turns out to be that of the most general known supersymmetric, asymptotically antide Sitter, black hole of U(1) 3gauged supergravity. The other two cases have constant scalars and only exist in particular regions of this moduli space – in particular they do not exist within minimal gauged supergravity. We also find a solution corresponding to the nearhorizon geometry of a threecharge supersymmetric black ring held in equilibrium by a conical singularity; when lifted to type IIB supergravity this solution can be made regular, resulting in a discrete family of warped AdS3 geometries. Analogous results are presented in U(1) n gauged supergravity. 1
HigherDerivative Corrections to the Asymptotic Virasoro
 Symmetry of 4d Extremal Black Holes,” Prog. Theor. Phys. 122 (2009) 355–384
"... We study the asymptotic Virasoro symmetry which acts on the nearhorizon region of extremal fourdimensional black hole solutions of gravity theories with higherderivative corrections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reprodu ..."
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Cited by 25 (1 self)
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We study the asymptotic Virasoro symmetry which acts on the nearhorizon region of extremal fourdimensional black hole solutions of gravity theories with higherderivative corrections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reproduces the entropy formula of IyerWald, once the boundary terms in the symplectic structure are carefully chosen.