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We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors…

高能物理 - 理论 · 物理学 2011-02-03 Andreas Brandhuber , Bill Spence , Gabriele Travaglini , Gang Yang

We compute at strong coupling the large N correlation functions of supersymmetric Wilson loops in large representations of the gauge group with local operators of N=4 super Yang-Mills. The gauge theory computation of these correlators is…

高能物理 - 理论 · 物理学 2009-04-29 Jaume Gomis , Shunji Matsuura , Takuya Okuda , Diego Trancanelli

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…

高能物理 - 理论 · 物理学 2015-06-19 Daniel Farquet , James Sparks

Wilson line operators in the rank $k$ totally symmetric tensor representation of ${\cal N}=4$ $U(N)$ sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in $AdS_5$. Although there is a mismatch between the…

高能物理 - 理论 · 物理学 2025-10-09 Yosuke Imamura , Akihiro Sei

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

In the AdS/CFT correspondence, an AdS_2 x S^2 D3-brane with electric flux in AdS_5 x S^5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N=4 super Yang-Mills theory. In order to…

高能物理 - 理论 · 物理学 2009-11-13 Satoshi Yamaguchi

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…

高能物理 - 理论 · 物理学 2025-09-15 Thales Azevedo , Alfonso Ballon-Bayona , Leonardo Pazito

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

高能物理 - 理论 · 物理学 2009-11-07 Gordon W. Semenoff , K. Zarembo

Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in L. We propose a simple new method for studying the…

高能物理 - 理论 · 物理学 2009-11-11 Freddy Cachazo , Marcus Spradlin , Anastasia Volovich

We study the maximally supersymmetric Yang-Mills theory on $S^d$ using supersymmetric localisation and holography. We argue that the analytic continuation in dimension to $d=1$ yields a Euclidean version of the BMN matrix quantum mechanics.…

高能物理 - 理论 · 物理学 2024-12-11 Nikolay Bobev , Pieter Bomans , Fridrik Freyr Gautason

The derivation of the explicit formula for the vacuum expectation value of the Wilson loop functional for an arbitrary gauge group on an arbitrary orientable two-dimensional manifold is considered both in the continuum case and on the…

高能物理 - 理论 · 物理学 2007-05-23 J. M. Aroca , Yu. A. Kubyshin

A rectangular Wilson loop centered at the origin, with sides parallel to space and time directions and length $2L$ and $2T$ respectively, is perturbatively evaluated ${\cal O}(g^4)$ in Feynman gauge for Yang--Mills theory in $1+(D-1)$…

高能物理 - 理论 · 物理学 2009-10-31 A. Bassetto , R. Begliuomini , G. Nardelli

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…

高能物理 - 理论 · 物理学 2018-11-14 Ekaterina Sysoeva

We employ the Transformer to learn patterns in two-dimensional lattice Yang-Mills theory. Specifically, we represent both Wilson loops and their expectation values as tokenized sequences. Taking the shape of Wilson loops as input, the model…

高能物理 - 理论 · 物理学 2025-10-29 Zeyu Li , Guorui Zhu , Wenjie He , Bo Feng , Jiaqi Chen , Ming-xing Luo , Gang Yang

We consider the expectation value of a Polyakov loop in 3d SU(2) lattice Yang--Mills theory and transform it to the dual representation in terms of sums over spins. The spin dependence of the amplitudes is computed explicitly by a graphical…

高能物理 - 格点 · 物理学 2007-10-15 Florian Conrady

The Schwinger-Dyson equations of the Makeenko-Migdal type, when supplemented with some simple equations as consequence of supersymmetry, form a closed set of equations for Wilson loops and related quantities in the two dimensional…

高能物理 - 理论 · 物理学 2015-06-26 Miao Li

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…

高能物理 - 理论 · 物理学 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

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

高能物理 - 理论 · 物理学 2014-11-20 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We compute the expectation value of the circular Wilson loop in N=2 supersymmetric Yang-Mills theory with N_f=2N hypermultiplets. Our results indicate that the string tension in the dual string theory scales as the logarithm of the 't Hooft…

高能物理 - 理论 · 物理学 2011-10-05 F. Passerini , K. Zarembo

Within the AdS/CFT correspondence we use multicentre D3-brane metrics to investigate Wilson loops and compute the associated heavy quark-antiquark potentials for the strongly coupled SU(N) super-Yang-Mills gauge theory, when the gauge…

高能物理 - 理论 · 物理学 2007-05-23 A. Brandhuber , K. Sfetsos