Localization and duality for ABJM latitude Wilson loops

Abstract

Abstract We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N $$ \mathcal{N} $$ ≥ 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

• Extended Supersymmetry
• Supersymmetric Gauge Theory
• Supersymmetry and Duality
• Wilson
• ’t Hooft and Polyakov loops