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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 holographic stress tensor for the CFT correspondence was shown to be invariant under diffeomorphisms in the boundary theory and in the bulk theory.
Abstract: In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions In the bulk, there can be gravitational Chern-Simons terms which vary by a total derivative We work out the holographic stress tensor for such theories, and demonstrate agreement between the bulk and boundary Anomalies lead to novel effects, such as a nonzero angular momentum for global AdS3 In string theory such Chern-Simons terms are known with exact coefficients The resulting anomalies, combined with symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes that agree exactly with the microscopic counting
409 citations
TL;DR: In this paper, the authors study the dynamics of strongly interacting gauge-theory matter (modeling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence.
Abstract: We study the dynamics of strongly interacting gauge-theory matter (modelling quark-gluon plasma) in a boost-invariant setting using the AdS/CFT correspondence. Using Fefferman-Graham coordinates and with the help of holographic renormalization, we show that perfect fluid hydrodynamics emerges at large times as the unique nonsingular asymptotic solution of the nonlinear Einstein equations in the bulk. The gravity dual can be interpreted as a black hole moving off in the fifth dimension. Asymptotic solutions different from perfect fluid behaviour can be ruled out by the appearance of curvature singularities in the dual bulk geometry. Subasymptotic deviations from perfect fluid behaviour remain possible within the same framework.
405 citations
TL;DR: In this paper, it was shown that for holographic conformal field theories, this relation, together with the holographic connection between entanglement entropies and areas of extremal surfaces and the standard connection between the field theory stress tensor and the boundary behavior of the metric, implies that geometry dual to the perturbed state satisfies Einstein's equations expanded to linear order about pure AdS.
Abstract: In a general conformal field theory, perturbations to the vacuum state obey the relation δS = δE, where δS is the change in entanglement entropy of an arbitrary ball-shaped region, and δE is the change in “hyperbolic” energy of this region. In this note, we show that for holographic conformal field theories, this relation, together with the holographic connection between entanglement entropies and areas of extremal surfaces and the standard connection between the field theory stress tensor and the boundary behavior of the metric, implies that geometry dual to the perturbed state satisfies Einstein’s equations expanded to linear order about pure AdS.
403 citations
TL;DR: In this paper, it was shown that the near-extremal solutions of EMD theories, studied in ArXiv:1005.4690, provide IR quantum critical geometries, by embedding classes of them in higher-dimensional AdS and Lifshitz solutions.
Abstract: We show that the near-extremal solutions of Einstein-Maxwell-Dilaton theories, studied in ArXiv:1005.4690, provide IR quantum critical geometries, by embedding classes of them in higher-dimensional AdS and Lifshitz solutions. This explains the scaling of their thermodynamic functions and their IR transport coefficients, the nature of their spectra, the Gubser bound, and regulates their singularities. We propose that these are the most general quantum critical IR asymptotics at finite density of EMD theories.
403 citations
TL;DR: In this paper, a brief review of collective flow phenomena in heavy ion collisions is given, with a brief discussion of other "strongly coupled systems" including strongly coupled supersymmetric theories studied via Maldacena duality and recent progress as regards trapped atoms with very large scattering lengths.
403 citations