Localization and Duality for ABJM Latitude Wilson Loops

Abstract

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 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.

arXiv comment51 pages; typos corrected, references added, comments added

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• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Interpolating Bremsstrahlung function in ABJM
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Abelian dualities and line defect indices for 3d gauge theories
• A network of hyperloops
• Generating functions for Higgs/Coulomb branch operators from 1d-3d cohomological equivalence
• Lattice defect networks in 2d Yang-Mills