English

Localization and Duality for ABJM Latitude Wilson Loops

High Energy Physics - Theory 2021-08-18 v2

Abstract

We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N4\mathcal{N}\ge 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and show how to extend the computation to more general Chern-Simons-matter theories. We then define latitude type Wilson and vortex loop operators in theories without Chern-Simons terms, and explore a connection to the recently derived superalgebra defining local Higgs and Coulomb branch operators in these theories. Finally, we identify a BPS loop operator dual to the bosonic latitude Wilson loop which is a novel bound state of Wilson and vortex loops, defined using a worldvolume supersymmetric quantum mechanics.

Keywords

Cite

@article{arxiv.2104.04533,
  title  = {Localization and Duality for ABJM Latitude Wilson Loops},
  author = {Luca Griguolo and Luigi Guerrini and Itamar Yaakov},
  journal= {arXiv preprint arXiv:2104.04533},
  year   = {2021}
}

Comments

51 pages; typos corrected, references added, comments added

R2 v1 2026-06-24T01:01:07.765Z