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We provide explicit formulas for the number of vacua of four-dimensional pure N=1 super Yang-Mills theories on a circle, with any simple gauge algebra and any choice of center and spectrum of line operators. These form a key ingredient in…

高能物理 - 理论 · 物理学 2016-08-03 Antoine Bourget , Jan Troost

In this paper we study the expectation value of deformations of the circular Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from…

高能物理 - 理论 · 物理学 2019-01-15 Michael Cooke , Amit Dekel , Nadav Drukker , Diego Trancanelli , Edoardo Vescovi

The coulomb branch of $N=4$ supersymmetric Yang-Mills gauge theories in $d=2+1$ is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-K\"ahler metric of supersymmetric…

高能物理 - 理论 · 物理学 2009-10-30 Gordon Chalmers , Amihay Hanany

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory. These expressions are obtained by extracting the most complicated contributions from the three-loop…

高能物理 - 理论 · 物理学 2007-05-23 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

In this paper, we consider a reduced supersymmetric Yang-Mills integral with four supercharges by using a Gaussian approximation scheme and its improved version. We calculate the free energy and the expectation values of Polyakov loop and…

高能物理 - 理论 · 物理学 2010-02-03 Fumihiko Sugino

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

高能物理 - 理论 · 物理学 2009-10-28 E. 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…

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

The partition function of four dimensional Euclidean, non-supersymmetric SU(2) Yang--Mills theory is calculated in the perturbative and weak coupling regime i.e. in a small open ball about the flat connection (what we call the vicinity of…

高能物理 - 理论 · 物理学 2023-04-11 Gabor Etesi

We provide several consistency checks of confining dynamics in a recently conjectured holographic dual of a four-dimensional ${\cal N}=1$ supersymmetric gauge theory that flows from a conformal manifold in the UV to a finite set of…

高能物理 - 理论 · 物理学 2026-04-22 Fabrizio Aramini , Riccardo Argurio , Matteo Bertolini , Pietro Moroni , Valdo Tatitscheff

We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We…

高能物理 - 理论 · 物理学 2008-11-26 Takaaki Ishii , Goro Ishiki , Shinji Shimasaki , Asato Tsuchiya

We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in…

高能物理 - 理论 · 物理学 2015-05-20 J. M. Drummond , L. Ferro , E. Ragoucy

We provide a quantum path integral definition of an 't Hooft loop operator, which inserts a pointlike monopole in a four dimensional gauge theory. We explicitly compute the expectation value of the circular 't Hooft operators in N=4 super…

高能物理 - 理论 · 物理学 2022-12-01 Jaume Gomis , Takuya Okuda , Diego Trancanelli

We consider the supergravity backgrounds that correspond to supersymmetric Wilson line operators in the context of AdS/CFT correspondence. We study the gravitino and dilatino conditions of the IIB supergravity under the appropriate ansatz,…

高能物理 - 理论 · 物理学 2008-11-26 Satoshi Yamaguchi

We discuss a new class of non-renormalization theorems in N=4 and N=2 Super-Yang-Mills theory, obtained by using a superspace which makes a lower dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops (and Wilson…

高能物理 - 理论 · 物理学 2009-11-10 Z. Guralnik , S. Kovacs , B. Kulik

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.…

高能物理 - 理论 · 物理学 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an…

高能物理 - 理论 · 物理学 2009-11-11 A. Dymarsky , S. Gubser , Z. Guralnik , J. Maldacena

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

高能物理 - 格点 · 物理学 2017-09-07 Simon Catterall

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the…

高能物理 - 理论 · 物理学 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira

We demonstrate that the large-N expansion of Wilson loop expectation values in SO(N) and Sp(N) Yang-Mills theory on orientable and nonorientable surfaces has a natural description as a weighted sum over covers of the given surface. The sum…

高能物理 - 理论 · 物理学 2009-10-28 Stephen G. Naculich , Harold A. Riggs , Howard J. Schnitzer

We study 1/2-BPS Wilson loop (WL) operators in maximally supersymmetric Yang-Mills theory (MSYM) on $\mathbf{S}^5$. Their vacuum expectation value (vev) can be computed exactly at large $N$ thanks to supersymmetric localization. The…

高能物理 - 理论 · 物理学 2023-12-21 Friðrik Freyr Gautason , Valentina Giangreco M. Puletti