Topic
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, a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O I ∼ tr (φ (i φ j) ) in N = 4 SYM 4 at strong coupling is presented.
201 citations
TL;DR: In this paper, doublediscontinuities of the four-point correlator of the stress-tensor multiplet in N = 4 SYM at large t' Hooft coupling and at order 1/N4, as a way to access one-loop effects in the dual supergravity theory are analyzed.
Abstract: We analyse the double-discontinuities of the four-point correlator of the stress-tensor multiplet in N=4 SYM at large t’ Hooft coupling and at order 1/N4, as a way to access one-loop effects in the dual supergravity theory. From these singularities we extract CFT-data by using two inversion procedures: one based on a recently proposed Froissart-Gribov inversion integral, and the other based on large spin perturbation theory. Both procedures lead to the same results and are shown to be equivalent more generally. Our computation parallels the standard S-matrix reconstruction via dispersion relations. In a suitable limit, the result of the conformal field theory calculation is compared with the one-loop graviton scattering amplitude in ten-dimensional IIB supergravity in flat space, finding perfect agreement.
201 citations
TL;DR: In this article, the authors used holographic entanglement entropy for strip geometry and constructed a candidate for a c-function in arbitrary dimensions, which is shown to decrease monotonically along RG flows.
Abstract: Using holographic entanglement entropy for strip geometry, we construct a candidate for a c-function in arbitrary dimensions. For holographic theories dual to Einstein gravity, this c-function is shown to decrease monotonically along RG flows. A sufficient condition required for this monotonic flow is that the stress tensor of the matter fields driving the holographic RG flow must satisfy the null energy condition over the holographic surface used to calculate the entanglement entropy. In the case where the bulk theory is described by Gauss-Bonnet gravity, the latter condition alone is not sufficient to establish the monotonic flow of the c-function. We also observe that for certain holographic RG flows, the entanglement entropy undergoes a ‘phase transition’ as the size of the system grows and as a result, evolution of the c-function may exhibit a discontinuous drop.
201 citations
TL;DR: In this paper, the universal physics of holographic non-Fermi liquid models is captured by a semi-holographic description, in which a dynamical boundary field is coupled to a strongly coupled conformal sector having a gravity dual.
Abstract: We show that the universal physics of recent holographic non-Fermi liquid models is captured by a semi-holographic description, in which a dynamical boundary field is coupled to a strongly coupled conformal sector having a gravity dual. This allows various generalizations, such as a dynamical exponent and lattice and impurity effects. We examine possible relevant deformations, including multi-trace terms and spin-orbit effects. We discuss the matching onto the UV theory of the earlier work, and an alternate description in which the boundary field is integrated out.
201 citations
TL;DR: In this article, the moduli spaces of vacua of supersymmetric deformations of the N=4 super Yang-Mills theory were interpreted as symmetric products of non-commutative spaces.
200 citations