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We propose an SL(2,R) Chern-Simons description of Liouville field theory (LFT), whose correlation function duals to partition function of N=2 SU(2) gauge theories. We give the dual expressions for conformal blocks, fusion rules, and Wilson…

High Energy Physics - Theory · Physics 2009-12-02 Jian-Feng Wu , Yang Zhou

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary…

High Energy Physics - Theory · Physics 2026-01-21 Xiao-Yi Zhang , Yunfeng Jiang , Jun-Bao Wu

Many CFT problems, e.g. ones with global symmetries, have correlation functions with a crossing antisymmetric sector. We show that such a crossing antisymmetric function can be expanded in terms of manifestly crossing antisymmetric objects,…

High Energy Physics - Theory · Physics 2022-01-19 Apratim Kaviraj

The AdS/CFT correspondence establishes a string representation for Wilson loops in N=4 SYM theory at large N and large 't Hooft coupling. One of the clearest manifestations of the stringy behaviour in Wilson loop correlators is the…

High Energy Physics - Theory · Physics 2010-02-03 K. Zarembo

We construct a $p$-adic analog to AdS/CFT, where an unramified extension of the $p$-adic numbers replaces Euclidean space as the boundary and a version of the Bruhat-Tits tree replaces the bulk. Correlation functions are computed in the…

High Energy Physics - Theory · Physics 2017-02-01 Steven S. Gubser , Johannes Knaute , Sarthak Parikh , Andreas Samberg , Przemek Witaszczyk

We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a…

High Energy Physics - Theory · Physics 2025-11-07 Fridrik Freyr Gautason , Alexia Nix

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

High Energy Physics - Theory · Physics 2025-04-08 Davide Astesiano , Pieter Bomans , Fridrik Freyr Gautason , Valentina Giangreco M. Puletti , Alexia Nix

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual,…

High Energy Physics - Theory · Physics 2010-10-27 Ta-Sheng Tai , Satoshi Yamaguchi

I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N=4 supersymmetric Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson…

High Energy Physics - Theory · Physics 2009-11-07 K. Zarembo

We study high energy scattering amplitudes in a strongly coupled (confining) gauge theory using the AdS/CFT correspondence. The scattering described by a Wilson line/loop correlation function was shown earlier to correspond to minimal…

High Energy Physics - Theory · Physics 2009-10-31 Romuald A. Janik

The correlator of a Wilson loop with a local operator in N=4 SYM theory can be represented by a string amplitude in AdS(5)xS(5). This amplitude describes an overlap of the boundary state, which is associated with the loop, with the string…

High Energy Physics - Theory · Physics 2009-11-07 V. Pestun , K. Zarembo

The algebraic curve (finite-gap) classification of rotating string solutions was very important in the development of integrability through comparison with analogous structures at weak coupling. The classification was based on the analysis…

High Energy Physics - Theory · Physics 2015-06-04 Romuald A. Janik , Pawel Laskos-Grabowski

A relation between the 4d superconformal index and the S^3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S^3 we explicitly show that the 3d…

High Energy Physics - Theory · Physics 2015-05-27 Yosuke Imamura

We extend the results of arXiv:1401.7016, computing one loop partition functions for massive fields with spin half in AdS_2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev in arXiv:0908.2657. We find the finite…

High Energy Physics - Theory · Physics 2016-11-23 Cynthia Keeler , Pedro Lisbao , Gim Seng Ng

We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}=4$ SYM to large $N$ QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate…

High Energy Physics - Theory · Physics 2013-05-29 Yuri Makeenko , Poul Olesen

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

Three-dimensional conformal field theories (CFTs) with slightly broken higher spin symmetry provide an interesting laboratory to study general properties of CFTs and their roles in the AdS/CFT correspondence. In this work we compute the…

High Energy Physics - Theory · Physics 2020-02-07 Zhijin Li

We construct a new class of differential operators that naturally act on AdS harmonic functions. These are weight shifting operators that change the spin and dimension of AdS representations. Together with CFT weight shifting operators, the…

High Energy Physics - Theory · Physics 2018-09-13 Miguel S. Costa , Tobias Hansen

The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that…

High Energy Physics - Theory · Physics 2024-02-22 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera