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 conformal partial wave expansion in Mellin space is proposed for the case of four point correlation functions between protected scalar operators in Super Yang Mills, in cases where the Regge limit is controlled by the leading twist operators associated to the pomeron-graviton Regge trajectory.
Abstract: We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave expansion in Mellin space, elucidating the analytic structure of the partial amplitudes. We apply the new formalism to the case of four point correlation functions between protected scalar operators in $ \mathcal{N}=4 $
Super Yang Mills, in cases where the Regge limit is controlled by the leading twist operators associated to the pomeron-graviton Regge trajectory. At weak coupling, we are able to predict to arbitrary high order in the ’t Hooft coupling the behaviour near J = 1 of the OPE coefficients $ {C_{{\mathcal{OO}J}}} $
between the external scalars and the spin J leading twist operators. At strong coupling, we use recent results for the anomalous dimension of the leading twist operators to improve current knowledge of the AdS graviton Regge trajectory — in particular, determining the next and next to next leading order corrections to the intercept. Finally, by taking the flat space limit and considering the Virasoro-Shapiro S-matrix element, we compute the strong coupling limit of the OPE coefficient $ {C_{{\mathcal{LL}J}}} $
between two Lagrangians and the leading twist operators of spin J.
416 citations
TL;DR: In this article, the graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS d + 1, which enables the computation of the four-point amplitudes of dilaton and axion fields in IIB supergravity on AdS 5 × S 5.
416 citations
TL;DR: In this paper, the authors explore further generalizations of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten and construct explicitly theories of enhanced = 5 or 6 supersymmetry.
Abstract: We explore further our recent generalization of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten We find and construct explicitly theories of enhanced = 5 or 6 supersymmetry, especially = 5, Sp(2M) ? O(N) and = 6, Sp(2M) ? O(2) theories The U(M) ? U(N) theory coincides with the = 6 theory of Aharony, Bergman, Jafferis and Maldacena (ABJM) We argue that the = 5 theory with Sp(2N) ? O(2N) gauge group can be understood as an orientifolding of the ABJM model with U(2N) ? U(2N) gauge group We briefly discuss the Type IIB brane construction of the = 5 theory and the geometry of the M-theory orbifold
415 citations
TL;DR: In this article, the leading correction to the shear viscosity in inverse powers of 't Hooft coupling using the α′-corrected low-energy effective action of type IIB string theory was derived.
414 citations
TL;DR: In this paper, the authors considered string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold, and the fundamental Planck size string and the large N QCD string appear as (two different wavefunctions of) one and the same object.
410 citations