Results 1  10
of
322
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 ..."
Abstract

Cited by 324 (28 self)
 Add to MetaCart
(Show Context)
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.
Aspects of Holographic Entanglement Entropy
"... This is an extended version of our short report hepth/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant recent progresses of entanglement entropy and details omitted in ..."
Abstract

Cited by 126 (4 self)
 Add to MetaCart
(Show Context)
This is an extended version of our short report hepth/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant recent progresses of entanglement entropy and details omitted in the earlier letter, this paper includes the following several new results: We give a more direct derivation of our claim which relates the entanglement entropy with the minimal area surfaces in the AdS3/CFT2 case as well as some further discussions on higher dimensional cases. Also the relation between the entanglement entropy and central charges in 4D conformal field theories is examined. We check that the logarithmic part of the 4D entanglement entropy computed in the CFT side agrees with the AdS5 result at least under a specific condition. Finally we estimate the entanglement entropy of massive theories in generic dimensions by making use of our proposal.
Microscopic black hole entropy in theories with higher derivatives
"... We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS3 × X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple way. Black hole entropy then follows from the Euclidean partitio ..."
Abstract

Cited by 116 (15 self)
 Add to MetaCart
(Show Context)
We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS3 × X geometry. In arbitrary theories with diffeomorphism invariance we show how to obtain the spacetime central charge in a simple way. Black hole entropy then follows from the Euclidean partition function, and we show that this gives agreement with Wald’s formula. In string theory there are certain diffeomorphism anomalies that we exploit. We thereby reproduce some recent computations of corrected entropy formulas, and extend them to the nonextremal, nonsupersymetric context. Examples include black holes in Mtheory on K3×T 2, whose entropy reproduces that of the perturbative heterotic string with both right and left movers excited and angular momentum included. Our anomaly based approach also sheds light on why exact results have been obtained in four dimensions while ignoring R 4 type corrections.
Large N BPS states and emergent quantum gravity
, 2006
"... This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our descri ..."
Abstract

Cited by 97 (14 self)
 Add to MetaCart
This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our description matches the semiclassical physics of 1/8 BPS states in supergravity. We also provide a heuristic description of how massive strings appear in the geometry, and how at strong ’t Hooft coupling they become local on the S 5 suggesting that they can be realized as a sigma model on a weakly curved background. We show that the dynamics of 1/8 BPS dynamics of N = 4 SYM on a round S 3 can be reduced to that of a matrix model for commuting matrices. Including measure factors, we show that this effective dynamics is related to bosons living on a six dimensional phase space with repulsive interactions. Because of these interactions, we can argue that on the ground state the bosons assemble themselves on a spherical shell in the shape of a round five sphere. This sphere will be identified with the S 5 in the AdS dual geometry. To do this, we first define a precise way to coarse grain the dynamics. We use half BPS configurations as a toy model for this coarse graining, and we can reproduce the droplet
Near horizon geometry of rotating black holes in five dimensions
 Nucl. Phys. B
, 1998
"... We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS3 × S3, as in the nonrotating case. However, the global structure couples the AdS3 and the S3, giving angular velocity to the S3. The asy ..."
Abstract

Cited by 74 (10 self)
 Add to MetaCart
(Show Context)
We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS3 × S3, as in the nonrotating case. However, the global structure couples the AdS3 and the S3, giving angular velocity to the S3. The asymptotic geometry is exploited to count the microstates and recover the precise value of the BekensteinHawking entropy, with rotation taken properly into account. We discuss the perturbation spectrum of the rotating black hole, and its relation to the underlying conformal field theory. 1
Threedimensional quantum geometry and black holes
"... We review some aspects of threedimensional quantum gravity with emphasis in the ‘CFT → Geometry ’ map that follows from the BrownHenneaux conformal algebra. The general solution to the classical equations of motion with antide Sitter boundary conditions is displayed. This solution is parametrized ..."
Abstract

Cited by 70 (3 self)
 Add to MetaCart
(Show Context)
We review some aspects of threedimensional quantum gravity with emphasis in the ‘CFT → Geometry ’ map that follows from the BrownHenneaux conformal algebra. The general solution to the classical equations of motion with antide 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 BekensteinHawking 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 ChernSimons formalism. 1
Desingularization by rotation
 JHEP
, 2002
"... We consider certain BPS supergravity solutions of string theory which have singularities and we show that the singularity goes away when we add angular momentum. These smooth solutions enable us to obtain global AdS3 as the near horizon geometry of a BPS brane system in an asymptotically flat space. ..."
Abstract

Cited by 60 (1 self)
 Add to MetaCart
(Show Context)
We consider certain BPS supergravity solutions of string theory which have singularities and we show that the singularity goes away when we add angular momentum. These smooth solutions enable us to obtain global AdS3 as the near horizon geometry of a BPS brane system in an asymptotically flat space. 1.
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 ..."
Abstract

Cited by 48 (8 self)
 Add to MetaCart
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.
A farey tail for attractor black holes
 JHEP
, 2006
"... The microstates of 4d BPS black holes in IIA string theory compactified on a CalabiYau manifold are counted by a (generalized) elliptic genus of a (0,4) conformal field theory. By exploiting a spectral flow that relates states with different charges, and using the Rademacher formula, we find that t ..."
Abstract

Cited by 39 (3 self)
 Add to MetaCart
(Show Context)
The microstates of 4d BPS black holes in IIA string theory compactified on a CalabiYau manifold are counted by a (generalized) elliptic genus of a (0,4) conformal field theory. By exploiting a spectral flow that relates states with different charges, and using the Rademacher formula, we find that the elliptic genus has an exact asymptotic expansion in terms of semiclassical saddlepoints of the dual supergravity theory. This generalizes the known ”Black Hole Farey Tail ” of [1] to the case of attractor black holes. 1