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We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to…

High Energy Physics - Theory · Physics 2016-04-12 Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva , Diego Trancanelli

We propose that the expectation value of a circular BPS-Wilson loop in N=4 SUSYM can be calculated exactly, to all orders in a 1/N expansion and to all orders in g^2 N. Using the AdS/CFT duality, this result yields a prediction of the value…

High Energy Physics - Theory · Physics 2009-10-31 Nadav Drukker , David J. Gross

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 classify bosonic $\mathcal{N}=(2,2)$ supersymmetric Wilson loops on arbitrary backgrounds with vector-like R-symmetry. These can be defined on any smooth contour and come in two forms which are universal across all backgrounds. We show…

High Energy Physics - Theory · Physics 2019-07-31 Rodolfo Panerai , Matteo Poggi , Domenico Seminara

We derive the fermion loop formulation for the supersymmetric nonlinear O$(N)$ sigma model by performing a hopping expansion using Wilson fermions. In this formulation the fermionic contribution to the partition function becomes a sum over…

High Energy Physics - Lattice · Physics 2013-11-22 Kyle Steinhauer , Urs Wenger

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

High Energy Physics - Theory · Physics 2020-10-26 Christoph F. Uhlemann

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods…

High Energy Physics - Theory · Physics 2010-04-23 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara , Shiyamala Thambyahpillai , Donovan Young

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…

High Energy Physics - Lattice · Physics 2011-12-20 Masazumi Honda , Goro Ishiki , Jun Nishimura , Asato Tsuchiya

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation…

High Energy Physics - Theory · Physics 2020-05-11 Francesco Galvagno

We investigate the topological string correspondence of the five-dimensional half-BPS Wilson loops on $S^1$. First, we propose the refined holomorphic anomaly equations for the BPS sectors of the Wilson loop expectation values. We then…

High Energy Physics - Theory · Physics 2023-05-17 Xin Wang

We study the integrability properties of Wilson loops in the ${\cal N}=6$ three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the construction of an open spin chain that describes the anomalous dimensions of operators…

High Energy Physics - Theory · Physics 2025-09-17 Diego H. Correa , Victor I. Giraldo-Rivera , Martín Lagares

Previously, two of the present authors obtained the decoupling limit and the corresponding throat geometry of non-supersymmetric D3 brane solution of type IIB string theory. In analogy with the supersymmetric case, it describes the gravity…

High Energy Physics - Theory · Physics 2018-11-14 Somdeb Chakraborty , Kuntal Nayek , Shibaji Roy

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-15 Paul Heslop , Valentin V. Khoze

We study new $1/24$ BPS circular Wilson loops in ABJ(M) theory, which are defined in terms of several parameters that continuously interpolate between previously known $1/6$ BPS loops (both bosonic and fermionic) and $1/2$ BPS fermionic…

High Energy Physics - Theory · Physics 2023-08-22 Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

We compute the one-loop correction to the probe D3-brane action in AdS5 x S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given essentially by the logarithm of the one-loop partition function…

High Energy Physics - Theory · Physics 2014-07-02 E. I. Buchbinder , A. A. Tseytlin

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 study circular BPS Wilson loops in the $\mathcal{N}=2$ superconformal $n$-node quiver theories at large $N$ and strong 't Hooft coupling by using localization. We compute the expectation values of Wilson loops in the limit when the 't…

High Energy Physics - Theory · Physics 2021-02-26 Hao Ouyang

We initiate the study of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories in three dimensions. We consider a circular or linear quiver with Chern-Simons levels $k$, $-k$ and $0$, and focus on loops preserving one of…

High Energy Physics - Theory · Physics 2016-11-17 Michael Cooke , Nadav Drukker , Diego Trancanelli

We consider $\mathcal{N}=4$ supersymmetric gauge theories on the squashed three-sphere with six preserved supercharges. We first discuss how Wilson and vortex loops preserve up to four of the supercharges and we find squashing independence…

High Energy Physics - Theory · Physics 2023-10-11 Charles Thull

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a…

High Energy Physics - Theory · Physics 2015-06-19 Jeremias Aguilera-Damia , Diego H. Correa , Guillermo A. Silva
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