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We give a precise definition of BPS vortex loops in 3D non-abelian gauge theories with ${\cal N}=2$ SUSY by the path integral over fields with a prescribed singular behavior. We compute the expectation value of a BPS vortex loop on an…

高能物理 - 理论 · 物理学 2022-04-27 Kazuo Hosomichi , Kohei Suzuki

We study a two-parameter family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural…

高能物理 - 理论 · 物理学 2015-05-28 Nadav Drukker , Valentina Forini

In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop…

高能物理 - 理论 · 物理学 2023-11-10 Yunfeng Jiang , Jun-Bao Wu , Peihe Yang

We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar limit. The matter content of the theory is depicted by a linear-shape diagram with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS Wilson…

高能物理 - 理论 · 物理学 2019-09-04 Takao Suyama

We examine the three-dimensional N = 6 superconformal Chern--Simons theory with U(N) X U(N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis, and Maldacena (ABJM). Using a formulation with manifest SU(4)…

高能物理 - 理论 · 物理学 2009-02-20 Miguel A. Bandres , Arthur E. Lipstein , John H. Schwarz

Non-relativistic ABJM theory is defined by Galilean limit of mass-deformed N=6 Chern-Simons theory. Holographic string theory dual to the theory is not known yet. To understand features candidate gravity dual might exhibit, we examine local…

高能物理 - 理论 · 物理学 2009-08-12 Yu Nakayama , Soo-Jong Rey

We study, in the context of the three-dimensional ${\cal N}=6$ Chern-Simons-matter (ABJM) theory, the infrared-finite functions that result from performing $L-1$ loop integrations over the $L$-loop integrand of the logarithm of the…

高能物理 - 理论 · 物理学 2024-02-28 Johannes M. Henn , Martín Lagares , Shun-Qing Zhang

In this paper, we show that the localization of three-dimensional N = 2 supersymmetric Chern-Simons theory on the ellipsoid-like squashed sphere is related to a nontrivial knot structure called torus knot. More precisely, we can capture the…

高能物理 - 理论 · 物理学 2015-06-04 Akinori Tanaka

We discuss Wilson loop averages in 4-dimensional non-commutative superYang-Mills theory using the dual supergravity description. We postulate that the Wilson loops are located at the mimimum length scale $R$ in the fifth radial coordinate.…

高能物理 - 理论 · 物理学 2009-10-31 A. Dhar , Y. Kitazawa

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…

高能物理 - 理论 · 物理学 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 super Yang-Mills theory on R*S^3 in the planar limit. Our method is based on a novel large-N reduction, which reduces the problem to Monte Carlo calculations in the…

高能物理 - 格点 · 物理学 2011-12-20 Masazumi Honda , Goro Ishiki , Jun Nishimura , Asato Tsuchiya

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up…

高能物理 - 理论 · 物理学 2020-10-28 Marco S. Bianchi

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 study a sector of the 5d maximally supersymmetric Yang-Mills theory on $S^5$ consisting of $1/8$-BPS Wilson loop operators contained within a great $S^3$ inside $S^5$. We conjecture that these observables are described by a 3d Chern…

高能物理 - 理论 · 物理学 2019-10-02 Márk Mezei , Silviu S. Pufu , Yifan Wang

We study a class of Wilson Loops in N =4, D=4 Yang-Mills theory belonging to the chiral ring of a N=2, d=1 subalgebra. We show that the expectation value of these loops is independent of their shape. Using properties of the chiral ring, we…

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

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

高能物理 - 理论 · 物理学 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

Supersymmetric localization reduces the computation of protected observables in ABJM theory to finite-dimensional matrix integrals. Building on the techniques introduced in arXiv:2512.02119, we develop a bootstrap framework for the…

高能物理 - 理论 · 物理学 2026-04-10 Bercel Boldis , Gregory P. Korchemsky , Alessandro Testa

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M x S^5. No assumptions about supersymmetry are…

高能物理 - 理论 · 物理学 2008-11-26 Sean A. Hartnoll

We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a…

高能物理 - 理论 · 物理学 2025-11-07 Fridrik Freyr Gautason , Alexia Nix

We study the phase transitions of three-dimensional $\mathcal{N}=2$ $U(N)$ Chern-Simons theory on $\mathbb{S}^3$ with a varied number of massive fundamental hypermultiplets and with a Fayet-Iliopoulos parameter. We characterize the various…

高能物理 - 理论 · 物理学 2019-09-10 Leonardo Santilli , Miguel Tierz