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Localization and Duality for ABJM Latitude Wilson Loops

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arxiv 2104.04533 v2 pith:7YAXAZF5 submitted 2021-04-09 hep-th

Localization and Duality for ABJM Latitude Wilson Loops

classification hep-th
keywords wilsonlatitudelooptheoriesloopsabjmbosoniclocalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Bootstrapping ABJM theory

    hep-th 2026-02 unverdicted novelty 7.0

    A bootstrap approach applied to ABJM theory yields analytic derivations of instanton corrections to the free energy and to 1/2 and 1/6 BPS Wilson loops, confirming relations previously known only conjecturally.