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We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

High Energy Physics - Theory · Physics 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

We discuss the possible relation between the singular structure of TMDs on the light-cone and the geometrical behaviour of rectangular Wilson loops.

High Energy Physics - Theory · Physics 2022-03-02 Frederik F. Van der Veken

We discuss the possible relation between the singular structure of TMDs on the light-cone and the geometrical behaviour of rectangular Wilson loops.

High Energy Physics - Theory · Physics 2013-04-30 F. F. Van der Veken , I. O. Cherednikov , T. Mertens

We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS…

High Energy Physics - Theory · Physics 2016-01-05 Niklas Beisert , Dennis Muller , Jan Plefka , Cristian Vergu

We investigate the matching of eigenvalue densities of Wilson loops in SU(N) lattice gauge theory: the eigenvalue densities in 1+1, 2+1 and 3+1 dimensions are nearly identical when the traces of the loops are equal. We show that the…

High Energy Physics - Theory · Physics 2008-11-26 Francis Bursa

Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory, we derive for it the corresponding loop equation, alternative to the familiar one. In…

High Energy Physics - Theory · Physics 2016-09-06 D. V. Antonov

We discussed one-point functions of BPS Wilson loops in supersymmetric five dimensional gauge theories defined on M_4\times S^1 by using path integral expression of Wilson loops. We found that the Wilson loop gives interaction terms between…

High Energy Physics - Theory · Physics 2009-11-16 Yui Noma

We give observations about dualities where one of the dual theories is geometric. These are illustrated with a duality between the simple harmonic oscillator and a topological field theory. We then discuss the Wilson loop in the context of…

High Energy Physics - Theory · Physics 2016-09-06 Viqar Husain

We continue our study of renormalization group (RG) flows on Wilson loop defects in ABJM theory, which we have initiated in arXiv:2211.16501. We generalize that analysis by including non-supersymmetric fixed points and RG trajectories. To…

High Energy Physics - Theory · Physics 2023-06-28 Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral,…

High Energy Physics - Theory · Physics 2015-06-03 Benedict Fraser , S. Prem Kumar

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 give a path integral prescription for the pair correlation function of Wilson loops lying in the worldvolume of Dbranes in the bosonic open and closed string theory. The results can be applied both in ordinary flat spacetime in the…

High Energy Physics - Theory · Physics 2009-10-31 S. Chaudhuri , Y. Chen , E. Novak

We calculate the anomalous dimension of the cusped Wilson loop in ${\cal N}=4$ supersymmetric Yang-Mills theory to order $\lambda^2$ ($\lambda=g^2_{YM}N$). We show that the cancellation between the diagrams with the three-point vertex and…

High Energy Physics - Theory · Physics 2008-11-26 Yuri Makeenko , Poul Olesen , Gordon W. Semenoff

We further analyze a recent perturbative two-loop calculation of the expectation value of two axi-symmetric circular Maldacena-Wilson loops in N=4 gauge theory. Firstly, it is demonstrated how to adapt the previous calculation of…

High Energy Physics - Theory · Physics 2009-11-07 Gleb Arutyunov , Jan Plefka , Matthias Staudacher

P-vortices, in an SU(N) lattice gauge theory, are excitations on the center-projected Z(N) lattice. We study the ratio of expectation values of SU(2) Wilson loops, on the unprojected lattice, linked to a single P-vortex, to that of Wilson…

High Energy Physics - Lattice · Physics 2013-05-30 Patrick Dunn , Jeff Greensite

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 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

The locally BPS Wilson loop and the pure gauge Wilson loop map under AdS/CFT duality to string world-sheet boundaries with standard and alternate quantizations of the world-sheet fields. This implies an RG flow between the two operators,…

High Energy Physics - Theory · Physics 2015-05-28 Joseph Polchinski , James Sully

The exact localization result for the expectation value of the $1\over 2$ BPS circular Wilson loop in ${\cal N}=4$ SYM theory is given in the planar limit by the famous Bessel function expression: $\langle W\rangle = {2N\over \sqrt \lambda…

High Energy Physics - Theory · Physics 2026-03-10 Matteo Beccaria , Stefan A. Kurlyand , Arkady A. Tseytlin

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