Mirror symmetry and the flavor vortex operator in two dimensions

The flavor vortex operator $V_α$ 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 $2πα$. We show that it is related to the mirror-dual twisted chiral multiplet, with bottom component $y$, as $V_α=e^{-αy}$.

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