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Related papers: Wilson loops in ABJM theory reloaded

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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 previous investigations, it was found that four-sided polygonal light-like Wilson loops in ABJM theory calculated to two-loop order have the same form as the corresponding Wilson loop in N = 4 SYM at one-loop order. Here we study…

High Energy Physics - Theory · Physics 2013-05-29 Konstantin Wiegandt

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

We derive non-Abelian localization formulae for supersymmetric Yang-Mills-Chern-Simons theory with matters on a Seifert manifold M, which is the three-dimensional space of a circle bundle over a two-dimensional Riemann surface \Sigma, by…

High Energy Physics - Theory · Physics 2013-05-30 Kazutoshi Ohta , Yutaka Yoshida

Framing plays a central role in the evaluation of Wilson loops in theories with Chern-Simons actions. In pure Chern-Simons theory, it guarantees topological invariance, while in theories with matter like ABJ(M), our theory of interest, it…

High Energy Physics - Theory · Physics 2024-12-10 Marco S. Bianchi , Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

For three-dimensional ${\cal N}=4$ super Chern-Simons-matter theories associated to necklace quivers $U(N_0) \times U(N_1) \times \cdots U(N_{2r-1}) $, we study at quantum level the two kinds of 1/2 BPS Wilson loop operators recently…

High Energy Physics - Theory · Physics 2015-12-30 Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification.…

High Energy Physics - Theory · Physics 2020-07-16 Nadav Drukker

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

For three-dimensional ABJ(M) theories and $\mathcal N=4$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing procedure along independent directions of the moduli space, and…

High Energy Physics - Theory · Physics 2017-08-10 Marco Lietti , Andrea Mauri , Silvia Penati , Jia-ju Zhang

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination…

High Energy Physics - Theory · Physics 2022-08-22 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin…

High Energy Physics - Theory · Physics 2021-07-22 Nadav Drukker , Marcia Tenser , Diego Trancanelli

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 study 1/2 BPS Wilson loops in 3d $\mathcal{N}=4$ $U(N)$ Yang-Mills theory with one adjoint and $N_f$ fundamental hypermultiplets from the Fermi gas approach. By numerical fitting, we find the first few worldsheet instanton corrections to…

High Energy Physics - Theory · Physics 2016-12-21 Kazumi Okuyama

The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group $U(N)$ are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the…

High Energy Physics - Theory · Physics 2019-08-30 Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück

As holographic description of BPS Wilson loops in ${\cal N}=3$ flavored ABJM theory with $N_f=k=1$, BPS M2-branes in $AdS_4\times N(1, 1)$ are studied in details. Two $1/3$-BPS membrane configurations are found. One of them is dual to the…

High Energy Physics - Theory · Physics 2015-06-10 Bin Chen , Jun-Bao Wu , Meng-Qi Zhu

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

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 study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM) theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence, this…

High Energy Physics - Theory · Physics 2016-09-30 Masaatsu Horikoshi , Kazumi Okuyama

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 introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion…

High Energy Physics - Theory · Physics 2013-12-12 Daniele Marmiroli