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We construct the Wilson loop operator of N=6 super Chern-Simons-matter which is invariant under half of the supercharges of the theory and is dual to the simplest macroscopic open string in AdS_4 x CP^3. The Wilson loop couples, in addition…

High Energy Physics - Theory · Physics 2010-03-19 Nadav Drukker , Diego Trancanelli

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory and investigate their two-point correlators. In this framework, the energy emitted by a heavy moving probe can be exactly obtained from some two-point coefficients…

High Energy Physics - Theory · Physics 2017-12-05 Lorenzo Bianchi , Luca Griguolo , Michelangelo Preti , Domenico Seminara

We present a new technique for computing supersymmetric Wilson loops in the ABJM theory via supersymmetric localization, valid for arbitrary values of the rank of the gauge group $N$ and the Chern-Simons level $k$. The approach relies on an…

High Energy Physics - Theory · Physics 2026-02-20 Bercel Boldis , Gregory P. Korchemsky , Alessandro Testa

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…

High Energy Physics - Theory · Physics 2019-10-02 Márk Mezei , Silviu S. Pufu , Yifan Wang

We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and…

High Energy Physics - Theory · Physics 2022-07-28 Matteo Beccaria , Gerald V. Dunne , Arkady A. Tseytlin

We study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear…

High Energy Physics - Theory · Physics 2009-03-27 Soo-Jong Rey , Takao Suyama , Satoshi Yamaguchi

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…

High Energy Physics - Theory · Physics 2025-11-07 Fridrik Freyr Gautason , Alexia Nix

We develop semiclassical methods to analyze the spectrum of BPS monopole operators for superconformal field theories in three dimensions with N=2 supersymmetry. We show that the chiral ring of the theory results from the semiclassical…

High Energy Physics - Theory · Physics 2015-05-30 David Berenstein , Mauricio Romo

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…

High Energy Physics - Theory · Physics 2009-07-30 Volker Branding , Nadav Drukker

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

We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional. We use…

High Energy Physics - Theory · Physics 2013-02-12 Anton Kapustin , Brian Willett

We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N=4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact,…

High Energy Physics - Theory · Physics 2018-08-29 Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück

This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will…

High Energy Physics - Theory · Physics 2008-11-26 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in $\mathcal{N}=4$ super Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are…

High Energy Physics - Theory · Physics 2008-11-26 Gordon W. Semenoff , Donovan Young

In this paper, we investigate the 1/4 BPS Wilson-'t Hooft loops in $\mathcal{N}$=4 supersymmetric Yang-Mills theory. We use the bulk D3-brane solutions with both electric and magnetic charges on its world-volume to describe some of 1/4 BPS…

High Energy Physics - Theory · Physics 2015-09-15 Chang-Yong Liu , Li Qin

We find a simple relation between two-dimensional BPS N=2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4-point functions in unitary (2,2) superconformal theories…

High Energy Physics - Theory · Physics 2017-08-23 Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

BPS representations of 5-dimensional supersymmetry algebras are classified. For BPS states preserving 1/2 the supersymmetry, there are two distinct classes of multiplets for N=4 supersymmetry and three classes for N=8 supersymmetry. For N=4…

High Energy Physics - Theory · Physics 2009-10-31 C. M. Hull

We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with $\mathcal{N}\ge 4$ supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric…

High Energy Physics - Theory · Physics 2021-08-18 Luca Griguolo , Luigi Guerrini , Itamar Yaakov

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

High Energy Physics - Theory · Physics 2025-04-08 Davide Astesiano , Pieter Bomans , Fridrik Freyr Gautason , Valentina Giangreco M. Puletti , Alexia Nix

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli