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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 paper, the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS5 × S5 string in the CFT correspondence is formulated.
Abstract: We formulate the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS5 × S5 string in the AdS/CFT correspondence. For this we extend the previous construction in the su(1|2) subsector due to Janik to the full algebra by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by length-changing effects and results in an unusual central braiding. As an application we explicitly determine the antiparticle representation by means of the established antipode.

160 citations

Journal ArticleDOI
TL;DR: In this article, the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux was studied and the planar tree level one-point functions of non-protected operators were calculated.
Abstract: We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in t ...

160 citations

Journal ArticleDOI
TL;DR: In this paper, the authors present an action for a charged, massive spin two field in a fixed Einstein background, which can be used to study the properties of a superfluid phase transition with a d-wave order parameter in a dual strongly interacting field theory.
Abstract: We write down an action for a charged, massive spin two field in a fixed Einstein background. Despite some technical problems, we argue that in an effective field theory framework and in the context of the AdS/CFT correspondence, this action can be used to study the properties of a superfluid phase transition with a d-wave order parameter in a dual strongly interacting field theory. We investigate the phase diagram and the charge conductivity of the superfluid phase. We also explain how possible couplings between the spin two field and bulk fermions affect the fermion spectral function.

159 citations

Journal ArticleDOI
TL;DR: In this paper, a planar interface with N = 4 super-Yang-Mills on either side and varying gauge coupling across the interface is considered, and the Lagrangians for these theories are explicitly constructed.

159 citations

Journal ArticleDOI
TL;DR: In this paper, a semiclassical or WKB expansion of the TBA system was studied in the ABJM coupling k, which corresponds to the strong coupling expansion of type IIA string, and the conjectures for the form of the one-instanton correction at finite k were verified.
Abstract: The partition function on the three-sphere of ABJM theory contains non-perturbative corrections which correspond to membrane instantons in M-theory. These corrections can be studied in the Fermi gas approach to the partition function, and they are encoded in a system of integral equations of the TBA type. We study a semiclassical or WKB expansion of this TBA system in the ABJM coupling k, which corresponds to the strong coupling expansion of the type IIA string. This allows us to study membrane instanton corrections in M-theory at high order in the WKB expansion. Using these WKB results, we verify the conjectures for the form of the one-instanton correction at finite k proposed recently by Hatsuda, Moriyama and Okuyama (HMO), which are in turn based on a conjectural cancellation of divergences between worldsheet instantons and membrane instantons. The HMO cancellation mechanism is important since it shows in a precise, quantitative way, that the perturbative genus expansion is radically insufficient at strong coupling, and that non-perturbative membrane effects are essential to make sense of the theory. We propose analytic expressions in k for the full two-membrane instanton correction and for higher-order non-perturbative terms, which pass many consistency checks and provide further evidence for the HMO mechanism.

159 citations


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