Mirror symmetry and the flavor vortex operator in two dimensions

The flavor vortex operator V-alpha, is a local disorder operator defined by coupling a two-dimensional N = (2, 2) chiral multiplet to a non-dynamical gauge field with vortex singularity of holonomy 27 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).