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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 studied the entropy of minimally entangled purification in three model systems: an Ising spin chain, conformal field theories holographically dual to Einstein gravity, and random stabilizer tensor networks.
Abstract: Purification is a powerful technique in quantum physics whereby a mixed quantum state is extended to a pure state on a larger system. This process is not unique, and in systems composed of many degrees of freedom, one natural purification is the one with minimal entanglement. Here we study the entropy of the minimally entangled purification, called the entanglement of purification, in three model systems: an Ising spin chain, conformal field theories holographically dual to Einstein gravity, and random stabilizer tensor networks. We conjecture values for the entanglement of purification in all these models, and we support our conjectures with a variety of numerical and analytical results. We find that such minimally entangled purifications have a number of applications, from enhancing entanglement-based tensor network methods for describing mixed states to elucidating novel aspects of the emergence of geometry from entanglement in the AdS/CFT correspondence.

231 citations

Journal ArticleDOI
TL;DR: In this paper, the authors propose a general prescription to extract spacetime instanton actions from general matrix models, in terms of period integrals of the spectral curve, and use it to determine them explicitly in the ABJM matrix model, as exact functions of the T Hooft coupling.
Abstract: Using the matrix model which calculates the exact free energy of ABJM theory on $ {\mathbb{S}^3} $ we study non-perturbative effects in the large N expansion of this model, i.e., in the genus expansion of type IIA string theory on AdS4 × $ \mathbb{C}{\mathbb{P}^3} $ . We propose a general prescription to extract spacetime instanton actions from general matrix models, in terms of period integrals of the spectral curve, and we use it to determine them explicitly in the ABJM matrix model, as exact functions of the ’t Hooft coupling. We confirm numerically that these instantons control the asymptotic growth of the genus expansion. Furthermore, we find that the dominant instanton action at strong coupling determined in this way exactly matches the action of an Euclidean D2-brane instanton wrapping $ \mathbb{R}{\mathbb{P}^3} $ .

230 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the microscopic entropy and the Bekenstein-Hawking entropy of the extremal Kerr-AdS metric agree also for four dimensions, and also for extremal four-dimensional Kerr metrics in dimensions 5, 6 and 7.
Abstract: It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

230 citations

Journal ArticleDOI
TL;DR: In this paper, the authors define the large N limit and show that the remaining light states become null and decouple from all correlation functions, and the remaining states are shown to match precisely (for all values of the ’t Hooft coupling) with the spectrum of the higher spin gravity theory.
Abstract: The partition function of the $ {\mathcal{W}_N} $ minimal model CFT is computed in the large N ’t Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields. At finite N, the CFT contains additional light states that are not visible in the perturbative gravity theory. We carefully define the large N limit, and give evidence that, at N = ∞, the additional states become null and decouple from all correlation functions. The surviving states are shown to match precisely (for all values of the ’t Hooft coupling) with the spectrum of the higher spin gravity theory. The agreement between bulk and boundary is partially explained by symmetry considerations involving the conjectured equivalence between the $ {\mathcal{W}_N} $ algebra in the large N limit and the higher spin algebra of the Vasiliev theory.

230 citations

Journal ArticleDOI
TL;DR: In this article, a set of functional equations for the cross ratios as functions of the spectral parameter are derived for a Y-system. But the integral form of the Y system has Thermodynamics Bethe Ansatz form.
Abstract: We compute form factors in planar $ \mathcal{N} = 4 $ Super Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The surfaces end on an infinite periodic sequence of null segments at the boundary of AdS. We consider surfaces that can be embedded in AdS 3. We derive set of functional equations for the cross ratios as functions of the spectral parameter. These equations are of the form of a Y-system. The integral form of the Y-system has Thermodynamics Bethe Ansatz form. The area is given by the free energy of the TBA system or critical value of Yang-Yang functional. We consider a restricted set of operators which have small conformal dimension compared to $ \sqrt {{{\uplambda }}} $ .

229 citations


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