Abstract
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.
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Hosomichi, K., Lee, S. & Okuda, T. Supersymmetric vortex defects in two dimensions. J. High Energ. Phys. 2018, 33 (2018). https://doi.org/10.1007/JHEP01(2018)033
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DOI: https://doi.org/10.1007/JHEP01(2018)033