Mirror symmetry and the flavor vortex operator in two dimensions

Abstract

The flavor vortex operator $V_{\alpha }$ is a local disorder operator defined by coupling a two-dimensional $\mathcal{N}=(2,2)$ chiral multiplet to a non-dynamical gauge field with vortex singularity of holonomy $2\pi \alpha$. We show that it is related to the mirror-dual twisted chiral multiplet, with bottom component $y$, as $V_{\alpha }=e^{-\alpha y}$.

6 pages

References in corpus (6)

• Generalized Global Symmetries
• R-Twisting and 4d/2d Correspondences
• Comments on the Casimir energy in supersymmetric field theories
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Orbifolds, Defects and Sphere Partition Function
• Mirror Symmetry And Loop Operators

Cited by in corpus (1)

• Supersymmetric Rényi Entropy in Two Dimensions