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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 compute correlation functions of protected primaries on the $1/2$-BPS Wilson loop in ${\cal N}$ = 4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present…

High Energy Physics - Theory · Physics 2019-03-27 Naoki Kiryu , Shota Komatsu

We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for…

High Energy Physics - Theory · Physics 2008-11-26 Francis A. Dolan , Laurent Gallot , Emery Sokatchev

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

High Energy Physics - Theory · Physics 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

Recently, there has been renewed interest in studies of criticality in the spin quantum Hall effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting fermions in two spatial dimensions. In our study, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Maksim Parfenov , Igor Burmistrov

We study instanton corrections to the vacuum expectation value (VEV) of 1/6 BPS Wilson loops in ABJM theory from the Fermi gas approach. We mainly consider Wilson loops in the fundamental representation and winding Wilson loops, but we also…

High Energy Physics - Theory · Physics 2016-10-12 Kazumi Okuyama

Supersymmetric localization reduces the computation of protected observables in ABJM theory to finite-dimensional matrix integrals. Building on the techniques introduced in arXiv:2512.02119, we develop a bootstrap framework for the…

High Energy Physics - Theory · Physics 2026-04-10 Bercel Boldis , Gregory P. Korchemsky , Alessandro Testa

Instanton contributions to the anomalous dimensions of gauge-invariant composite operators in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in the one-instanton sector. Independent sets of scalar operators of bare dimension 2,…

High Energy Physics - Theory · Physics 2009-11-10 Stefano Kovacs

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 study the large charge sector of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Specifically, we consider correlation functions of two large charge insertions and several…

High Energy Physics - Theory · Physics 2022-04-07 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

Planar gluon amplitudes in N=4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the conformal symmetry of the gauge theory, broken by…

High Energy Physics - Theory · Physics 2009-11-18 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in ${\cal N}=4$ super Yang-Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson…

High Energy Physics - Theory · Physics 2019-05-20 Simone Giombi , Radu Roiban , Arkady A. Tseytlin

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 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

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 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

Correlation functions of chiral primary operators and their superconformal descendants in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in detail in a one-instanton background and at large N. Whereas earlier calculations were…

High Energy Physics - Theory · Physics 2014-11-18 Michael B. Green , Stefano Kovacs

We study string quantum corrections to the ratio of latitude and circular Wilson loops in N=4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5)xS(5) is singular and we show that an…

High Energy Physics - Theory · Physics 2018-04-04 Alessandra Cagnazzo , Daniel Medina-Rincon , Konstantin Zarembo

Using the BPS-protected higher derivative $R^4$-term as an exactly solvable example, we analyze which instanton corrections are generated by a one-loop Schwinger integral over the light towers of states that arise in infinite distance…

High Energy Physics - Theory · Physics 2026-05-14 Manuel Artime , Ralph Blumenhagen , Panagiotis Leivadaros

It is argued that the definition of the twist-3 transverse momentum dependent correlation functions must be modified if they contain light-like Wilson lines. In the framework of a simple spectator model of the nucleon we show explicitly the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. P. Gamberg , D. S. Hwang , A. Metz , M. Schlegel