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Related papers: Exact Correlators on the Wilson Loop in $\mathcal{…

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Starting with some known localization (matrix model) representations for correlators involving 1/2 BPS circular Wilson loop $\cal W$ in ${\cal N}=4$ SYM theory we work out their $1/N$ expansions in the limit of large 't Hooft coupling…

High Energy Physics - Theory · Physics 2023-03-27 Matteo Beccaria , Arkady A. Tseytlin

We develop new techniques for computing exact correlation functions of a class of local operators, including certain monopole operators, in three-dimensional $\mathcal{N} = 4$ abelian gauge theories that have superconformal infrared limits.…

High Energy Physics - Theory · Physics 2025-02-18 Mykola Dedushenko , Yale Fan , Silviu S. Pufu , Ran Yacoby

We continue our study of the defect CFT on a Maldacena-Wilson line in N=4 Super-Yang-Mills theory using Bootstrability -- the conformal bootstrap supplemented with exact integrability data. In this paper, we extend this program to charged…

High Energy Physics - Theory · Physics 2024-12-19 Andrea Cavaglià , Nikolay Gromov , Julius Julius , Michelangelo Preti , Nika Sergeevna Sokolova

We study the defect CFT associated with the half-BPS Wilson line in $\mathcal{N}=4$ Super Yang-Mills theory in four dimensions. Using a perturbative bootstrap approach, we derive new analytical results for multipoint correlators of…

High Energy Physics - Theory · Physics 2026-01-13 Daniele Artico , Julien Barrat , Giulia Peveri

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

The AdS/CFT correspondence predicts a phase transition in Wilson loop correlators in the strong coupling N=4, D=4 SYM theory which arises due to instability of the classical string stretched between the loops. We study this transition in…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

We study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the…

High Energy Physics - Theory · Physics 2023-10-19 Luigi Guerrini

We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for…

High Energy Physics - Theory · Physics 2009-08-24 A. Bassetto , L. Griguolo , F. Pucci , D. Seminara , S. Thambyahpillai , D. Young

We propose that, in N=4 Super Yang-Mills theory, correlation functions of certain 1/8 BPS Wilson loops and local operators inserted on a S^2 in space-time may be computed in terms of analogous observables in the "zero-instanton" sector of…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Vasily Pestun

We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N=2 SU(N) SYM theories with massless matter content and non-vanishing beta-function. Following Pestun's approach, we can use supersymmetric localization on the…

High Energy Physics - Theory · Physics 2023-12-20 M. Billo' , L. Griguolo , A. Testa

We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that…

High Energy Physics - Theory · Physics 2009-09-24 Simone Giombi , Vasily Pestun

We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved…

High Energy Physics - Theory · Physics 2015-06-04 Rafael Hernandez

We study three-point correlation functions of local operators in planar $\mathcal{N}=4$ SYM at weak coupling using integrability. We consider correlation functions involving two scalar BPS operators and an operator with spin, in the so…

High Energy Physics - Theory · Physics 2015-06-18 Pedro Vieira , Tianheng Wang

We address a longstanding question of whether ABJM theory has Wilson loop operators preserving eight supercharges (so 1/3 BPS). We present such Wilson loops made of a large supermatrix combining two 1/2 BPS Wilson loops. We study the…

High Energy Physics - Theory · Physics 2023-07-12 Nadav Drukker , Ziwen Kong

We study various aspects of half-BPS surface defect operators in $\mathcal{N}=4$ SYM. For defects on generic points on the moduli space we use superconformal symmetry to fix the form of one-point and two-point functions of half-BPS…

High Energy Physics - Theory · Physics 2025-11-20 Adolfo Holguin , Hiroki Kawai

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory.…

High Energy Physics - Theory · Physics 2023-12-06 Alessandro Pini , Paolo Vallarino

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 continue our study of multipoint correlators of scalar fields on the $1d$ defect CFT generated by inserting operators along the Maldacena-Wilson line in $\mathcal{N} = 4$ SYM. We present a weak-coupling recursion relation that captures…

High Energy Physics - Theory · Physics 2023-08-28 Julien Barrat , Pedro Liendo , Giulia Peveri

We study multipoint correlators of protected scalars on the Maldacena-Wilson line in $\mathcal{N}=4$ SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators…

High Energy Physics - Theory · Physics 2023-01-24 Julien Barrat , Pedro Liendo , Giulia Peveri , Jan Plefka