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Exact results for supersymmetric abelian vortex loops in 2+1 dimensions

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arxiv 1211.2861 v2 pith:LNLP4MMK submitted 2012-11-13 hep-th

Anton Kapustin , Brian Willett , Itamar Yaakov This is my paper · ORCID
classification hep-th
keywords operatorssupersymmetrictheoriesabeliandefectdimensionsgaugeloop
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We define a class of supersymmetric defect loop operators in N = 2 gauge theories in 2+1 dimensions. We give a prescription for computing the expectation value of such operators in a generic N = 2 theory on the three-sphere using localization. We elucidate the role of defect loop operators in IR dualities of supersymmetric gauge theories, and write down their transformation properties under the SL(2, Z) action on conformal theories with abelian global symmetries.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Boundary lines and Askey-Wilson type moments

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.

  2. Lattice defect networks in 2d Yang-Mills

    hep-th 2025-01 conditional novelty 6.0 of 10

    A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.

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