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In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

高能物理 - 理论 · 物理学 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

An effective action is proposed to compute the expectation value of Wilson loops in $(S)U(N)$ gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is…

高能物理 - 理论 · 物理学 2018-08-01 Carlos Hoyos

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

A half-BPS circular Wilson loop in $\mathcal{N}=4$ $SU(N)$ supersymmetric Yang-Mills theory in an arbitrary representation is described by a Gaussian matrix model with a particular insertion. The additional entanglement entropy of a…

高能物理 - 理论 · 物理学 2014-09-24 Simon A. Gentle , Michael Gutperle

This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with a structure group given by a classical compact matrix Lie…

概率论 · 数学 2023-08-28 Antoine Dahlqvist , Thibaut Lemoine

We consider circular Wilson loops in a defect version of $\mathcal{N}=4$ super-Yang-Mills theory which is dual to the D3-D5 brane system with $k$ units of flux. When the loops are parallel to the defect, we can construct both BPS and…

高能物理 - 理论 · 物理学 2020-04-22 S. Bonansea , S. Davoli , L. Griguolo , D. Seminara

Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d $\mathcal{N}=2$ Yang-Mills-Chern-Simons $U(N)$ theory on the squashed sphere $S^3_b$ with one…

高能物理 - 理论 · 物理学 2019-12-20 Luca Cassia , Rebecca Lodin , Aleksandr Popolitov , Maxim Zabzine

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

高能物理 - 格点 · 物理学 2015-06-05 Robert Lohmayer , Herbert Neuberger

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

高能物理 - 理论 · 物理学 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

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…

高能物理 - 理论 · 物理学 2019-10-17 M. Billo , F. Galvagno , A. Lerda

We calculate circular Wilson loop expectation value of pure ${\cal N}=1$ super Yang-Mills from the Klebanov-Strassker-Tseytlin solution of supergravity and the proposed gauge/gravity duality. The calculation is performed numerically via…

高能物理 - 理论 · 物理学 2007-05-23 Xiao-Jun Wang , Sen Hu

We compute the exact vacuum expectation value of 1/2 BPS circular Wilson loops of ${\cal N}$=4 U(N) super Yang-Mills in arbitrary irreducible representations. By localization arguments, the computation reduces to evaluating certain…

高能物理 - 理论 · 物理学 2015-06-17 Bartomeu Fiol , Genis Torrents

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M x S^5. No assumptions about supersymmetry are…

高能物理 - 理论 · 物理学 2008-11-26 Sean A. Hartnoll

We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At…

高能物理 - 理论 · 物理学 2011-04-15 Sean A. Hartnoll , S. Prem Kumar

We derive an infinite sequence of Schwinger-Dyson equations for $N=1$ supersymmetric Yang-Mills theory. The fundamental and the only variable employed is the Wilson-loop geometrically represented in $N=1$ superspace: it organizes an…

高能物理 - 理论 · 物理学 2009-10-30 H. Itoyama , H. Takashino

By considering a Gaussian truncation of ${\cal N}=4$ super Yang-Mills, we derive a set of Dyson equations that account for the ladder diagram contribution to connected correlators of circular Wilson loops. We consider different numbers of…

高能物理 - 理论 · 物理学 2018-12-31 Diego Correa , Pablo Pisani , Alan Rios Fukelman , Konstantin Zarembo

We study supersymmetric Wilson loop operators in four-dimensional N=4 super Yang-Mills theory. We show that the contour of a supersymmetric Wilson loop is either an orbit of some conformal transformation of the space-time (case I), or an…

高能物理 - 理论 · 物理学 2010-05-12 Anatoly Dymarsky , Vasily Pestun

We analyze the $1/\theta$ and 1/N expansions of the Wilson loop averages $<W(C)>_{U_\theta (N)}$ in the two-dimensional noncommutative $U_\theta (N)$ gauge theory with the parameter of noncommutativity $\theta$. For a generic rectangular…

高能物理 - 理论 · 物理学 2008-11-26 Jan Ambjorn , Andrei Dubin , Yuri Makeenko

We start with an n-point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with $n$ sides. The limit takes the $n$ points towards the vertices of a null polygonal Wilson loop…

高能物理 - 理论 · 物理学 2015-05-19 Luis F. Alday , Burkhard Eden , Gregory P. Korchemsky , Juan Maldacena , Emery Sokatchev

Wilson loops in large N gauge theory exhibit a weak to strong coupling transition as the loop is dilated. A multiplicative matrix model captures the universal behavior associated with this transition. A universal scaling function is…

高能物理 - 格点 · 物理学 2008-10-06 Rajamani Narayanan , Herbert Neuberger