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Related papers: A note on multiply wound BPS Wilson loops in ABJM

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We calculate Wilson loops in lowest order of perturbation theory for triangular contours whose edges are circular arcs. Based on a suitable disentanglement of the relations between metrical and conformal parameters of the contours, the…

High Energy Physics - Theory · Physics 2021-05-26 Harald Dorn

In this paper we construct and classify novel Drukker-Trancanelli (DT) type BPS Wilson loops along infinite straight lines and circles in $\mathcal N=2,3$ quiver superconformal Chern-Simons-matter theories,…

High Energy Physics - Theory · Physics 2016-08-09 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

In this article, we further explore the construction and computation of expectation values for Wilson loops in higher-rank 5d $\mathcal{N} = 1$ gauge theories on $\mathbb{C}_2 \times S_1$, by explicitly computing the Wilson loops via…

High Energy Physics - Theory · Physics 2026-02-11 Minhao Liu , Xin Wang , Rui-Dong Zhu

We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two…

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

We generalize Nakajima-Yoshioka's blowup formula to calculate the partition functions counting the spectrum of bound states to half-BPS Wilson loop operators in 5d (and 6d) supersymmetric field theories. The partition function in the…

High Energy Physics - Theory · Physics 2021-10-05 Hee-Cheol Kim , Minsung Kim , Sung-Soo Kim

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

In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop…

High Energy Physics - Theory · Physics 2023-11-10 Yunfeng Jiang , Jun-Bao Wu , Peihe Yang

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

High Energy Physics - Theory · Physics 2020-07-15 Simone Giombi , Shota Komatsu

Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which…

Probability · Mathematics 2020-12-02 Sky Cao

The string theory calculation of the 1/2-BPS circular Wilson loop of N=4 SYM in the planar limit at next to leading order at strong coupling is revisited in the ratio of its semiclassical string partition function and the one dual to a…

High Energy Physics - Theory · Physics 2020-10-02 Li Botao , Daniel Medina-Rincon

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 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

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short…

The 1/2-BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the…

High Energy Physics - Theory · Physics 2020-12-02 Simone Giombi , Jiaqi Jiang , Shota Komatsu

Planar parts of conformal dimensions of primary operators in $U_k(N) \times U_{-k}(N)$ ABJM theory are controlled by integrability. Strong coupling asymptotics of planar dimensions of operators with large spins can be found from the energy…

High Energy Physics - Theory · Physics 2025-07-25 Matteo Beccaria , Stefan A. Kurlyand , Arkady A. Tseytlin

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

High Energy Physics - Theory · Physics 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

The vacuum expectation value of the Wilson loop functional in pure Yang-Mills theory on an arbitrary two-dimensional orientable manifold is studied. We consider the calculation of this quantity for the abelian theory in the continuum case…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Aroca , Yu. Kubyshin

We study the expectation values of Wilson-loop operators with the insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk viewpoint of AdS/CFT correspondence. Classical solutions of strings attached to such deformed…

High Energy Physics - Theory · Physics 2009-11-11 Akitsugu Miwa , Tamiaki Yoneya

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 paper, we show that the localization of three-dimensional N = 2 supersymmetric Chern-Simons theory on the ellipsoid-like squashed sphere is related to a nontrivial knot structure called torus knot. More precisely, we can capture the…

High Energy Physics - Theory · Physics 2015-06-04 Akinori Tanaka