Supersymmetric vortex defects in two dimensions

Abstract

We study codimension-two BPS defects in 2d N=(2,2) supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field. We classify possible SUSY-preserving boundary conditions on charged matter fields around the vortex defects, and derive a formula for defect correlators on the squashed sphere. We also prove an equivalence relation between vortex defects and 0d-2d coupled systems. Our defect correlators are shown to be consistent with the mirror symmetry duality between Abelian gauged linear sigma models and Landau-Ginzburg models, as well as that between the minimal model and its orbifold. We also study the vortex defects inserted at conical singularities.

67 pages; v2: typos corrected, references added, v3: typos corrected, references added, a few statements clarified, a minor correction, version to appear in JHEP

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• Supersymmetric Rényi Entropy in Five Dimensions
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• Surface defects and instanton-vortex interaction
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