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We study the path integral of a twisted $N=2$ supersymmetric Yang-Mills theory coupled with hypermultiplet having the bare mass. We explicitly compute the topological correlation functions for the $SU(2)$ theory on a compact oriented simply…

高能物理 - 理论 · 物理学 2008-02-03 Seungjoon Hyun , Jaemo Park , Jae-Suk Park

These notes provide an introduction toward Wilson loops in N=4 supersymmetric Yang-Mills theory with a focus toward their integrability properties. In addition to a brief discussion of exact results for the circular Wilson loop and the cusp…

高能物理 - 理论 · 物理学 2020-08-26 Hagen Münkler

A closed-form expression is obtained for a holomorphic sector of the two-loop low-energy effective action for the N = 4 super Yang-Mills theory on its Coulomb branch where the gauge group SU(N) is spontaneously broken to SU(N-1) x U(1) and…

高能物理 - 理论 · 物理学 2009-11-10 S. M. Kuzenko , I. N. McArthur

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 this contribution to the review on localization in gauge theories we investigate the matrix models derived from localizing N=1 super Yang-Mills on S^5. We consider the large-N limit and attempt to solve the matrix model by a saddle-point…

高能物理 - 理论 · 物理学 2017-10-25 Joseph A. Minahan

The thermodynamics of supersymmetric Yang-Mills theories is studied by computing the two-loop correction to the canonical free energy and to the equation of state for theories with 16, 8 and 4 supercharges in any dimension $4\leq d\leq 10$,…

高能物理 - 理论 · 物理学 2016-08-25 M. A. Vazquez-Mozo

Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre-…

高能物理 - 理论 · 物理学 2018-09-20 Davide Gaiotto

The Yangian level-one hypercharge generator for the super Wilson loop in N = 4 supersymmetric Yang-Mills theory is constructed. Moreover, evidence for the presence of a corresponding symmetry generator at all higher levels is provided. The…

高能物理 - 理论 · 物理学 2016-04-20 Hagen Munkler

We study a recently discovered family of 1/8-BPS supersymmetric Wilson loops in N=4 super Yang-Mills theory and their string theory duals. The operators are defined for arbitrary contours on a two-sphere in space-time, and they were…

高能物理 - 理论 · 物理学 2014-11-18 Simone Giombi , Vasily Pestun , Riccardo Ricci

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us…

高能物理 - 理论 · 物理学 2008-11-26 Kei-Ichi Kondo , Toru Shinohara , Takeharu Murakami

We use the recently proposed supergravity approach to large $N$ gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an area law for spatial Wilson loops in four…

高能物理 - 理论 · 物理学 2010-02-03 Andreas Brandhuber , Nissan Itzhaki , Jacob Sonnenschein , Shimon Yankielowicz

The N=2* Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N) gauge group in this…

高能物理 - 理论 · 物理学 2015-02-16 Xinyi Chen-Lin , Konstantin Zarembo

We consider a twisted version of the four-dimensional N=4 supersymmetric Yang-Mills theory with gauge groups SU(2) and SO(3), and bare masses for two of its chiral multiplets, thereby breaking N=4 down to N=2. Using the wall-crossing…

高能物理 - 理论 · 物理学 2009-10-31 J. M. F. Labastida , Carlos Lozano

We consider a compactification of 4D $\mathcal{N}=4$ SYM, with $SU(N)$ gauge group, on a circle with anti-periodic boundary conditions for the fermions. We couple the theory to a constant background gauge field along the circle for an…

高能物理 - 理论 · 物理学 2024-07-19 S. Prem Kumar , Ricardo Stuardo

In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means…

高能物理 - 理论 · 物理学 2009-11-11 Adi Armoni , Timothy J. Hollowood

In this paper we present a family of supersymmetric Wilson loops of N=4 supersymmetric Yang-Mills theory in Minkowski space. Our examples focus on curves restricted to hyperbolic submanifolds, H_3 and H_2, of space-time. Generically they…

高能物理 - 理论 · 物理学 2009-07-30 Volker Branding , Nadav Drukker

At low energies or temperatures, maximally supersymmetric Yang-Mills theory on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong t'Hooft coupling is conjectured to be dual to the low energy dynamics of a collection…

高能物理 - 理论 · 物理学 2017-06-28 Oscar J. C. Dias , Jorge E. Santos , Benson Way

At a generic point in the moduli space of vacua of an N=4 supersymmetric gauge theory with arbitrary gauge group the Higgs force does not cancel the magneto-static force between magnetic monopoles of distinct charge. As a consequence the…

高能物理 - 理论 · 物理学 2009-10-30 Christophe Fraser , Timothy J. Hollowood

We have carried out a two loop computation of the low-energy effective action for the four-dimensional N=2 supersymmetric Yang-Mills system coupled to hypermultiplets, with the chiral superfields of the vector multiplet lying in an abelian…

高能物理 - 理论 · 物理学 2009-10-30 A. De Giovanni , M. T. Grisaru , M. Rocek , R. von Unge , D. Zanon

We address the issue of topological angles in the context of two dimensional SU(N) Yang-Mills theory coupled to massive fermions in the adjoint representation. Classification of the resulting multiplicity of vacua is carried outin terms of…

高能物理 - 理论 · 物理学 2009-10-30 L. D. Paniak , G. W. Semenoff , A. R. Zhitnitsky