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Wilson loops which are small deviations from straight, infinite lines, called wavy lines, are considered in the context of the AdS/CFT correspondence. A single wavy line and the connected correlation function of a straight and wavy line are…

High Energy Physics - Theory · Physics 2009-11-10 Gordon W. Semenoff , Donovan Young

We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in…

High Energy Physics - Theory · Physics 2009-10-22 Jean-Marc DAUL , Vladimir A. KAZAKOV

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable,…

High Energy Physics - Theory · Physics 2011-06-21 Valentina Forini

We consider (3 + 1)-dimensional N=4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for…

High Energy Physics - Theory · Physics 2007-05-23 Michael R. Douglas , Washington Taylor

We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally…

High Energy Physics - Theory · Physics 2022-09-27 Markus B. Fröb

We introduce a prescription to define form factor integrands at loop level in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. This relies on a periodic kinematic configuration that has been instrumental to describe form factors at…

High Energy Physics - Theory · Physics 2019-03-27 Lorenzo Bianchi , Andreas Brandhuber , Rodolfo Panerai , Gabriele Travaglini

In this paper we compute the vacuum expectation value of the Wilson loop and its correlators with chiral primary operators in $\mathcal{N}=2, 4$ superconformal $U(N)$ gauge theories at large $N$. After localization these quantities can be…

High Energy Physics - Theory · Physics 2018-04-10 Ekaterina Sysoeva

In the context of class S theories and 4D/2D duality relations there, we discuss the skein relations of general topological defects on the 2D side which are expected to be counterparts of composite surface-line operators in 4D class S…

High Energy Physics - Theory · Physics 2017-02-02 Noriaki Watanabe

The one string-loop correction to the energies of two impurity BMN states are computed using IIB light-cone string field theory with an improved 3-string vertex that has been proposed by Dobashi and Yoneya. As in previous published…

High Energy Physics - Theory · Physics 2008-09-22 Gianluca Grignani , Marta Orselli , Bojan Ramadanovic , Gordon W. Semenoff , Donovan Young

A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between…

High Energy Physics - Theory · Physics 2008-02-03 A. Bassetto , D. Colferai , G. Nardelli

We compute the large N limit of Wilson loop expectation values for a broad class of N=2 supersymmetric gauge theories defined on a general class of background three-manifolds M_3, diffeomorphic to S^3. We find a simple closed formula which…

High Energy Physics - Theory · Physics 2015-06-19 Daniel Farquet , James Sparks

We study four-dimensional $\mathcal N=2$ superconformal circular, cyclic symmetric quiver theories which are planar equivalent to $\mathcal N=4$ super Yang-Mills. We use localization to compute nonplanar corrections to the free energy and…

High Energy Physics - Theory · Physics 2023-12-13 M. Beccaria , G. P. Korchemsky

We study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-$k$ symmetric representation of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the holographic…

High Energy Physics - Theory · Physics 2015-08-26 Diego H. Correa , Fidel I. Schaposnik Massolo , Diego Trancanelli

The correlation functions of open Wilson line operators in two-dimensional Yang-Mills theory on the noncommutative torus are computed exactly. The correlators are expressed in two equivalent forms. An instanton expansion involves only…

High Energy Physics - Theory · Physics 2009-11-10 L. D. Paniak , R. J. Szabo

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

High Energy Physics - Theory · Physics 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and…

High Energy Physics - Theory · Physics 2022-07-28 Matteo Beccaria , Gerald V. Dunne , Arkady A. Tseytlin

In the context of integrated correlators in $\mathcal{N}=4$ SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed $\mathcal{N}=2^*$ theory in presence of a…

High Energy Physics - Theory · Physics 2023-11-30 M. Billo' , M. Frau , F. Galvagno , A. Lerda

We study symmetry-breaking line defects in the Wilson-Fisher theory with $O(2N+1)$ global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with $O(2N)$ global symmetry near six dimensions. We introduce…

High Energy Physics - Theory · Physics 2022-06-29 Diego Rodriguez-Gomez

We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with Dbranes. We compute the pair correlation function of Wilson loops in the generic weakly coupled supersymmetric flat…

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri , Eric G. Novak

Wilson loops are calculated within the AdS/CFT correspondence by finding a classical solution to the string equations of motion in AdS_5 x S^5 and evaluating its action. An important fact is that this sigma-model used to evaluate the Wilson…

High Energy Physics - Theory · Physics 2009-11-11 Nadav Drukker , Bartomeu Fiol
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