Supersymmetric vortex defects in two dimensions

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Regular Article - Theoretical Physics


We study codimension-two BPS defects in 2d \( \mathcal{N} = \left(2,\ 2\right) \) 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.


Conformal Field Theory Field Theories in Lower Dimensions Supersymmetric Gauge Theory Supersymmetry and Duality 


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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Applied PhysicsNational Defense AcademyKanagawaJapan
  2. 2.Korea Institute for Advanced StudySeoulSouth Korea
  3. 3.University of Tokyo, KomabaTokyoJapan

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