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We construct new families of 1/4 BPS Wilson loops in circular quiver $\mathcal N=4$ superconformal Chern-Simons-matter (SCSM) theories in three dimensions. They are defined as the holonomy of superconnections that contain non-trivial…

High Energy Physics - Theory · Physics 2018-01-17 Andrea Mauri , Silvia Penati , Jia-ju Zhang

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a…

High Energy Physics - Theory · Physics 2010-12-21 Anton Kapustin , Brian Willett , Itamar Yaakov

Recently, Kapustin, Willett and Yaakov have found, by using localization techniques, that vacuum expectation values of Wilson loops in ABJM theory can be calculated with a matrix model. We show that this matrix model is closely related to…

High Energy Physics - Theory · Physics 2014-11-20 Marcos Marino , Pavel Putrov

We study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-$k$ symmetric representation of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the holographic…

High Energy Physics - Theory · Physics 2015-08-26 Diego H. Correa , Fidel I. Schaposnik Massolo , Diego Trancanelli

We construct for the first time Drukker-Trancanelli (DT) type fermionic Bogomol\`nyi-Prasad-Sommerfield (BPS) Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory and $\mathcal{N}=4$ super…

High Energy Physics - Theory · Physics 2023-02-10 Hao Ouyang , Jun-Bao Wu

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

High Energy Physics - Theory · Physics 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in $AdS_{4}\times CP^{3}$. For this, the ratio of 1/2-BPS circular and 1/6-BPS latitude fermionic Wilson…

High Energy Physics - Theory · Physics 2019-10-02 Daniel Medina-Rincon

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary…

High Energy Physics - Theory · Physics 2026-01-21 Xiao-Yi Zhang , Yunfeng Jiang , Jun-Bao Wu

We study the possible BPS Wilson loops in three-dimensional ${\cal N}=4$ Chern-Simons-matter theory which involve only the gauge field and bilinears of the scalars. Previously known examples are the analogues of the Gaiotto-Yin loops…

High Energy Physics - Theory · Physics 2022-12-01 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

For $SU(N)$ superconformal QCD we perform a three-loop calculation of the generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET formalism. We obtain an expression which is valid at generic geometric and internal…

High Energy Physics - Theory · Physics 2019-05-01 Carolina Gomez , Andrea Mauri , Silvia Penati

I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N=4 supersymmetric Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson…

High Energy Physics - Theory · Physics 2009-11-07 K. Zarembo

Framing plays a central role in the evaluation of Wilson loops in theories with Chern-Simons actions. In pure Chern-Simons theory, it guarantees topological invariance, while in theories with matter like ABJ(M), our theory of interest, it…

High Energy Physics - Theory · Physics 2024-12-10 Marco S. Bianchi , Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

High Energy Physics - Theory · Physics 2020-06-22 Simone Giombi , Bendeguz Offertaler

We prove that the half-BPS Wilson loop operator of N=4 SYM in a symmetric representation of the gauge group has a bulk gravitational description in terms of a single D3-brane in AdS_5xS^5, as argued in hep-th/0604007. We also show that a…

High Energy Physics - Theory · Physics 2010-10-27 Jaume Gomis , Filippo Passerini

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short…

We study three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories on $\mathcal{M}_{g,p}$, an oriented circle bundle of degree $p$ over a closed Riemann surface, $\Sigma_g$. We compute the $\mathcal{M}_{g,p}$ supersymmetric partition…

High Energy Physics - Theory · Physics 2017-04-05 Cyril Closset , Heeyeon Kim , Brian Willett

The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge…

High Energy Physics - Theory · Physics 2009-09-17 Nadav Drukker , David J. Gross , Hirosi Ooguri

We study 1/2 BPS Wilson loops in 3d $\mathcal{N}=4$ $U(N)$ Yang-Mills theory with one adjoint and $N_f$ fundamental hypermultiplets from the Fermi gas approach. By numerical fitting, we find the first few worldsheet instanton corrections to…

High Energy Physics - Theory · Physics 2016-12-21 Kazumi Okuyama

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…

High Energy Physics - Theory · Physics 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

In this work, we study the line and loop operators in three-dimensional ${\mathcal N}=2$ fishnet theories in detail. We construct the straight line and circular loop operators which are at least classically half-BPS. We develop a new…

High Energy Physics - Theory · Physics 2020-08-17 Jun-bao Wu , Jia Tian , Bin Chen