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We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved…

High Energy Physics - Theory · Physics 2015-06-04 Rafael Hernandez

We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the immersion of the loop into a supermanifold. This approach…

High Energy Physics - Theory · Physics 2020-05-20 C. A. Cremonini , P. A. Grassi , S. Penati

We initiate the calculation of quantum corrections to Wilson loops in a class of four-dimensional defect conformal field theories with vacuum expectation values based on N=4 super Yang-Mills theory. Concretely, we consider an infinite…

High Energy Physics - Theory · Physics 2022-08-24 Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary…

Probability · Mathematics 2024-03-19 Arka Adhikari , Sky Cao

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

High Energy Physics - Theory · Physics 2010-11-04 Roman Andree , Donovan Young

We calculate static Wilson loops for a heavy quark anti-quark pair in different positions in the space generated by a large number of coincident D3-branes. Simple results are obtained from limiting cases of the geodesic shape. In…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

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

The Dyson equation proposed for planar temporal Wilson loops in the context of supersymmetric gauge theories is critically analysed thereby exhibiting its ingredients and approximations involved. We reveal its limitations and identify its…

High Energy Physics - Theory · Physics 2010-03-12 M. Pak , H. Reinhardt

We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form…

High Energy Physics - Theory · Physics 2025-09-15 Thales Azevedo , Alfonso Ballon-Bayona , Leonardo Pazito

We consider the VEV of Wilson loop operators by studying the behavior of string probes in solutions of Type IIB string theory generated by Nc D5 branes wrapped on an internal manifold. In particular, we focus on solutions to the background…

High Energy Physics - Theory · Physics 2015-03-13 Carlos Nunez , Maurizio Piai , Antonio Rago

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

High Energy Physics - Theory · Physics 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by…

High Energy Physics - Theory · Physics 2019-10-17 M. Billo , F. Galvagno , A. Lerda

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

High Energy Physics - Theory · Physics 2020-07-15 Simone Giombi , Shota Komatsu

Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

We consider supersymmetric Wilson loops a la Zarembo in planar supersymmetric Yang-Mills theories in diverse dimensions. Using perturbation theory we show that these loops have trivial vacuum expectation values to second order in the 't…

High Energy Physics - Theory · Physics 2009-08-12 Abhishek Agarwal , Donovan Young

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a…

High Energy Physics - Theory · Physics 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d $\mathcal{N}=2$ superconformal ${\rm SU}(N)$ YM theory with hypermultiplets in the symmetric and antisymmetric representations…

High Energy Physics - Theory · Physics 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental…

High Energy Physics - Theory · Physics 2011-04-05 Edward B. Baker
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