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We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the…

High Energy Physics - Theory · Physics 2015-05-27 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio

We study the correspondence between scattering amplitudes and Wilson loops in three-dimensional Chern-Simons matter theories. In particular, using N=2 superspace formalism, we compute at one loop the whole spectrum of four-point…

High Energy Physics - Theory · Physics 2015-05-30 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

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…

High Energy Physics - Theory · Physics 2019-10-17 M. Billo , F. Galvagno , A. Lerda

Motivated by recent developments in the AdS/CFT correspondence, we provide several alternative bulk descriptions of an arbitrary Wilson loop operator in Chern-Simons theory. Wilson loop operators in Chern-Simons theory can be given a…

High Energy Physics - Theory · Physics 2010-10-27 Jaume Gomis , Takuya Okuda

Wilson loops in gauge theories pose a fundamental challenge for dualities. Wilson loops are labeled by a representation of the gauge group and should map under duality to loop operators labeled by the same data, yet generically, dual…

High Energy Physics - Theory · Physics 2015-11-11 Benjamin Assel , Jaume Gomis

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

We consider circular Wilson loops in a defect version of $\mathcal{N}=4$ super-Yang-Mills theory which is dual to the D3-D5 brane system with $k$ units of flux. When the loops are parallel to the defect, we can construct both BPS and…

High Energy Physics - Theory · Physics 2020-04-22 S. Bonansea , S. Davoli , L. Griguolo , D. Seminara

We study the supersymmetric Wilson loop as introduced by Caron-Huot, which attaches to lightlike polygons certain edge and vertex operators, whose shape is determined by supersymmetry constraints. We state explicit formulas for the vertex…

High Energy Physics - Theory · Physics 2013-01-24 Josua Groeger

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

High Energy Physics - Theory · Physics 2020-07-15 Simone Giombi , Shota Komatsu

We study supersymmetric Wilson loop operators in four-dimensional N=4 super Yang-Mills theory. We show that the contour of a supersymmetric Wilson loop is either an orbit of some conformal transformation of the space-time (case I), or an…

High Energy Physics - Theory · Physics 2010-05-12 Anatoly Dymarsky , Vasily Pestun

We construct supersymmetric gauge theories on some curved manifolds with boundaries. Our examples include a part of three-sphere and a part of two-sphere. We concentrate on Dirichlet boundary conditions. For these theories on the manifolds…

High Energy Physics - Theory · Physics 2013-11-19 Sotaro Sugishita , Seiji Terashima

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…

High Energy Physics - Theory · Physics 2009-08-12 Yu Nakayama , Soo-Jong Rey

We compute the expectation value of the 1/2 BPS circular Wilson loop in ABJM theory at two loops in perturbation theory. The result shows perfect agreement with the prediction from localization and the proposed framing factor.

High Energy Physics - Theory · Physics 2013-08-09 Marco S. Bianchi , Gaston Giribet , Matias Leoni , Silvia Penati

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

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…

High Energy Physics - Theory · Physics 2014-11-18 Simone Giombi , Vasily Pestun , Riccardo Ricci

We present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial fermionic couplings with the contour, finding…

High Energy Physics - Theory · Physics 2015-06-16 Luca Griguolo , Gabriele Martelloni , Matteo Poggi , Domenico Seminara

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators in the N=4 supersymmetric Yang-Mills theory with a Gaussian matrix model. We also compute the partition…

High Energy Physics - Theory · Physics 2012-09-21 Vasily Pestun

We study supersymmetric 't Hooft loop operators in N=4 super Yang-Mills, generalizing the well-known circular 1/2 BPS case and investigating their S-duality properties. We derive the BPS condition for a generic line operator describing…

High Energy Physics - Theory · Physics 2013-07-30 Fabrizio Pucci

We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a two-sphere. Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric…

High Energy Physics - Theory · Physics 2015-03-13 Donovan Young