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Mirror symmetry and the flavor vortex operator in two dimensions
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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 $V_\alpha=e^{-\alpha y}$.
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Lattice defect networks in 2d Yang-Mills
A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.
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