Supersymmetric vortex defects in two dimensions

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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.

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Hosomichi, K., Lee, S., & Okuda, T. (2018). Supersymmetric vortex defects in two dimensions. Journal of High Energy Physics, 2018(1). https://doi.org/10.1007/JHEP01(2018)033

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