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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 present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories and have string like excitations but the string is of order one.
467 citations
TL;DR: In this paper, it was shown that a much stronger form of universality holds in theories with a large central charge c and a sparse light spectrum, and that the free energy is universal at all values of the temperature, and the microscopic spectrum matches the Cardy entropy for all c.
Abstract: Two-dimensional conformal eld theories exhibit a universal free energy in the high temperature limit T ! 1, and a universal spectrum in the Cardy regime, ! 1. We show that a much stronger form of universality holds in theories with a large central charge c and a sparse light spectrum. In these theories, the free energy is universal at all values of the temperature, and the microscopic spectrum matches the Cardy entropy for all c . The same is true of three-dimensional quantum gravity; therefore our results provide simple necessary and sucient criteria for 2d CFTs to behave holographically in terms of the leading spectrum and thermodynamics. We also discuss several applications to CFT and gravity, including operator dimension bounds derived from the modular bootstrap, universality in symmetric orbifolds, and the role of non-universal ‘enigma’ saddlepoints in the thermodynamics of 3d gravity.
466 citations
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TL;DR: The radiation-dominated k = 0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution as discussed by the authors.
Abstract: The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an expected result from AdS/CFT in light of recent comments regarding the coupling of gravity to ''boundary'' conformal field theories. I remark on how this calculation bears on the understanding of the Randall-Sundrum ''alternative to compactification.'' A generalization of the AdS/CFT prescription for computing Green's functions is suggested, and it is shown how gravity emerges from it with a strength G{sub 4}=2G{sub 5}/L. Some upper bounds are set on the radius of curvature L of AdS{sub 5}. One of them comes from estimating the rate of leakage of visible sector energy into the CFT. That rate is connected via a unitarity relation to deviations from Newton's force law at short distances. The best bound on L obtained in this paper comes from a match to the parameters of string theory. It is L{approx}<1nm if the string scale is 1GeV. Higher string scales imply a tighter bound on L.
462 citations
TL;DR: In this paper, the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory was studied. But the R 2 terms were determined by the central charges of the CFT.
Abstract: We use the real-time finite-temperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge theory. The R 2 terms in AdS5 are determined by the central charges of the CFT. We present an example of a four-dimensional gauge theory in which the conjectured lower bound of 1/4π on the viscosity-to-entropy ratio is violated for finite N.
460 citations
TL;DR: In this paper, it was shown that at the level of linear response the low-frequency limit of a strongly coupled field theory at finite temperature is determined by the horizon geometry of its gravity dual, i.e., by the ''membrane paradigm'' fluid of classical black hole mechanics.
Abstract: We show that at the level of linear response the low-frequency limit of a strongly coupled field theory at finite temperature is determined by the horizon geometry of its gravity dual, i.e., by the ``membrane paradigm'' fluid of classical black hole mechanics. Thus, generic boundary theory transport coefficients can be expressed in terms of geometric quantities evaluated at the horizon. When applied to the stress tensor this gives a simple, general proof of the universality of the shear viscosity in terms of the universality of gravitational couplings, and when applied to a conserved current it gives a new general formula for the conductivity. Away from the low-frequency limit the behavior of the boundary theory fluid is no longer fully captured by the horizon fluid even within the derivative expansion; instead, we find a nontrivial evolution from the horizon to the boundary. We derive flow equations governing this evolution and apply them to the simple examples of charge and momentum diffusion.
460 citations