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Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory correspond at strong coupling to extremal surfaces in $AdS_5$. We study a class of extremal surfaces known as special Legendrian submanifolds. The "hemisphere" corresponding to…

高能物理 - 理论 · 物理学 2007-05-23 Andrei Mikhailov

The collinear factorization properties of two-loop scattering amplitudes in dimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of…

高能物理 - 理论 · 物理学 2010-11-15 C. Anastasiou , Z. Bern , L. Dixon , D. A. Kosower

We apply the positivity bootstrap approach to SU(3) lattice Yang-Mills (YM) theory, extending previous studies of large N and SU(2) theories by incorporating multiple-trace Wilson loop operators. By utilizing Hermitian and reflection…

高能物理 - 理论 · 物理学 2025-12-08 Yuanhong Guo , Zeyu Li , Gang Yang , Guorui Zhu

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 compute expectation values of Wilson loops in q-deformed 2d Yang-Mills on a Riemann surface and show that they give invariants of knots in 3-manifolds which are circle bundles over the Riemann surface. The areas of the loops play an…

高能物理 - 理论 · 物理学 2008-11-26 Sebastian de Haro

The purpose of this paper is to investigate the global categorical symmetries that arise when gauging finite higher groups in three or more dimensions. The motivation is to provide a common perspective on constructions of non-invertible…

高能物理 - 理论 · 物理学 2024-07-17 Thomas Bartsch , Mathew Bullimore , Andrea E. V. Ferrari , Jamie Pearson

We compute the leading-color (planar) three-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4 - 2 epsilon dimensions, as a Laurent expansion about epsilon = 0 including the finite terms. The amplitude was constructed…

高能物理 - 理论 · 物理学 2008-11-26 Zvi Bern , Lance J. Dixon , Vladimir A. Smirnov

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

高能物理 - 理论 · 物理学 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

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,…

高能物理 - 理论 · 物理学 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

We study the correlator of concentric circular Wilson loops for arbitrary radii, spatial and internal space separations. For real values of the parameters specifying the dual string configuration, a typical Gross-Ooguri phase transition is…

高能物理 - 理论 · 物理学 2018-06-13 Diego H. Correa , Pablo Pisani , Alan Rios Fukelman

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…

高能物理 - 理论 · 物理学 2009-10-22 Jean-Marc DAUL , Vladimir A. KAZAKOV

We prove the convergence in probability of Wilson loops under the Yang-Mills measure on any closed, orientable surface of genus larger than two, for large unitary or special unitary groups. Our approach revisits and refines recent arguments…

概率论 · 数学 2026-04-01 Antoine Dahlqvist

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…

高能物理 - 理论 · 物理学 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

We study supersymmetric Wilson loops in $d=3$, $\mathcal{N}=3$ harmonic superspace, leading to a construction of a supersymmetrized generalization of the $\frac{1}{3}$-BPS Wilson loop for $\mathcal{N}=3$ gauge theories. This also includes a…

高能物理 - 理论 · 物理学 2018-06-27 Yu-tin Huang , Dharmesh Jain

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

高能物理 - 理论 · 物理学 2010-11-15 Paul Heslop , Valentin V. Khoze

A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain high-loop and high-leg results by an easy operation on known…

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…

高能物理 - 理论 · 物理学 2024-05-01 Hao Ouyang , Jun-Bao Wu

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…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We study the S-matrix of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for…

高能物理 - 理论 · 物理学 2015-06-15 Simon Caron-Huot , Song He

We study the correlation functions of the Wilson loops in noncommutative Yang-Mills theory based upon its equivalence to twisted reduced models. We point out that there is a crossover at the noncommutativity scale. At large momentum scale,…

高能物理 - 理论 · 物理学 2009-10-31 Nobuyuki Ishibashi , Satoshi Iso , Hikaru Kawai , Yoshihisa Kitazawa