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AdS/CFT correspondence

About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.


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TL;DR: In this article, the authors apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the D1-D5-P and the Breckenridge-Myers-Peet-Vafa black holes.
Abstract: The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an ${\mathrm{AdS}}_{2}$ structure. To understand the dual chiral ${\mathrm{CFT}}_{2}$, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the D1-D5-P and the Breckenridge-Myers-Peet-Vafa black holes, and obtain the correct entropies for the black holes microscopically. These have an ${\mathrm{AdS}}_{3}$ structure in the near horizon geometry and an ${\mathrm{AdS}}_{2}$ structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral ${\mathrm{CFT}}_{2}$ dual to the ${\mathrm{AdS}}_{3}$, i.e., in the ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$, with the Virasoro symmetry in the chiral ${\mathrm{CFT}}_{2}$ dual to the ${\mathrm{AdS}}_{2}$, i.e., in the Kerr/CFT correspondence. We also discuss a way to understand the chiral ${\mathrm{CFT}}_{2}$ dual to generic extremal black holes. A kind of universality for the very near horizon geometries of extremal black holes will be important for the validity of the Kerr/CFT correspondence. Based on this analysis, we propose that the Kerr/CFT correspondence can be understood as a decoupling limit in which only the ground states remain.

124 citations

Journal ArticleDOI
TL;DR: In this article, the BPS spectrum of the symmetric orbifold of the CFT dual of string theory on AdS3 × S 3 × S3 ×S1 is determined, provided that one of the two Q 5 ± 1 quantum numbers is a multiple of the other.
Abstract: The CFT dual of string theory on AdS3 × S3 × S3 × S1 is conjectured to be the symmetric orbifold of the $$ {\mathcal{S}}_{\kappa } $$ theory, provided that one of the two Q 5 ± quantum numbers is a multiple of the other. We determine the BPS spectrum of the symmetric orbifold in detail, and show that it reproduces precisely the BPS spectrum that was recently calculated in supergravity. We also determine the BPS spectrum of the world-sheet theory that is formulated in terms of WZW models, and show that, apart from some gaps (which are reminiscent of those that appear in the corresponding $$ {\mathbb{T}}^4 $$ calculation), it also reproduces this BPS spectrum. In fact, the matching seems to work as well as for the familiar $$ {\mathbb{T}}^4 $$ case, and thus our results give strong support for this proposal.

124 citations

Journal ArticleDOI
TL;DR: In this paper, the universal terms in the entanglement entropy for spherical and cylindrical surfaces were derived by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy.
Abstract: We consider generalized gravitational entropy in various higher derivative theories of gravity dual to four dimensional CFTs using the recently proposed regularization of squashed cones. We derive the universal terms in the entanglement entropy for spherical and cylindrical surfaces. This is achieved by constructing the Fefferman-Graham expansion for the leading order metrics for the bulk geometry and evaluating the generalized gravitational entropy. We further show that the Wald entropy evaluated in the bulk geometry constructed for the regularized squashed cones leads to the correct universal parts of the entanglement entropy for both spherical and cylindrical entangling surfaces. We comment on the relation with the Iyer-Wald formula for dynamical horizons relating entropy to a Noether charge. Finally we show how to derive the entangling surface equation in Gauss-Bonnet holography.

124 citations

Posted Content
TL;DR: In this paper, the authors present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods.
Abstract: These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of ${\cal N}=4 $ Super Yang-Mills's relation to string theory in $AdS_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

124 citations

Journal ArticleDOI
TL;DR: In this article, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence, and the strong subadditivity property has been confirmed via direct calculations.
Abstract: Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence One of the most important properties of the entanglement entropy is known as the strong subadditivity This requires that the entanglement entropy should be a concave function with respect to geometric parameters It is a non-trivial check on the proposal to see if this property is indeed satisfied by the entropy computed holographically In this paper we examine several examples which are defined by annuli or cusps, and confirm the strong subadditivity via direct calculations Furthermore, we conjecture that Wilson loop correlators in strongly coupled gauge theories satisfy the same relation We also discuss the relation between the holographic entanglement entropy and the Bousso bound

124 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2021234
2020348
2019387
2018368
2017393
2016413