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.
Cite
@article{arxiv.1705.10623,
title = {Supersymmetric vortex defects in two dimensions},
author = {Kazuo Hosomichi and Sungjay Lee and Takuya Okuda},
journal= {arXiv preprint arXiv:1705.10623},
year = {2018}
}
Comments
67 pages; v2: typos corrected, references added, v3: typos corrected, references added, a few statements clarified, a minor correction, version to appear in JHEP