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We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for…

High Energy Physics - Theory · Physics 2009-08-24 A. Bassetto , L. Griguolo , F. Pucci , D. Seminara , S. Thambyahpillai , D. Young

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be basically given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of…

High Energy Physics - Phenomenology · Physics 2014-11-20 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of…

High Energy Physics - Theory · Physics 2014-11-21 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We set up a general scheme to resum ladder diagrams for the quark-anti-quark potential in N=4 super-Yang-Mills theory, and do explicit calculations at the next-to-leading order. The results perfectly agree with string theory in AdS(5)xS(5)…

High Energy Physics - Theory · Physics 2015-06-05 D. Bykov , K. Zarembo

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 study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

High Energy Physics - Theory · Physics 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

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…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an…

High Energy Physics - Theory · Physics 2015-06-03 Jean-Emile Bourgine

We construct supersymmetric fermionic Wilson loops along general curves in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory. These…

High Energy Physics - Theory · Physics 2024-05-01 Hao Ouyang , Jun-Bao Wu

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

High Energy Physics - Theory · Physics 2018-01-01 Mohamed M. Anber , Vito Pellizzani

We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

High Energy Physics - Theory · Physics 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

Maximally supersymmetric Yang-Mills theories have several remarkable properties, among which are the cancellation of UV divergences, factorization of higher loop corrections and possible integrability. Much attention has been attracted to…

High Energy Physics - Theory · Physics 2015-06-19 L. V. Bork , D. I. Kazakov , D. E. Vlasenko

In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge theories. We also compute correlators of Wilson loops in different representations and…

High Energy Physics - Theory · Physics 2018-11-14 Ekaterina Sysoeva

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

High Energy Physics - Theory · Physics 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

High Energy Physics - Theory · Physics 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory.…

High Energy Physics - Theory · Physics 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

Using localization, matrix model and saddle-point techniques, we determine exact behavior of circular Wilson loop in N=2 superconformal (quiver) gauge theories. Focusing at planar and large `t Hooft couling limits, we compare its asymptotic…

High Energy Physics - Theory · Physics 2011-02-02 Soo-Jong Rey , Takao Suyama

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral,…

High Energy Physics - Theory · Physics 2015-06-03 Benedict Fraser , S. Prem Kumar

N=2* gauge theory in four space-time dimensions arises as a deformation of the parent N=4 supersymmetric Yang-Mill theory under which its hypermultiplet acquires a mass. This theory, on the one hand, has a known supergravity dual and on the…

High Energy Physics - Theory · Physics 2015-06-12 Alex Buchel , Jorge G. Russo , Konstantin Zarembo