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Double affine Grassmannians and Coulomb branches of 3d N=4 quiver gauge theories

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(2017)cite arxiv:1712.03039Comment: 14 pages, submitted to proceedings of the ICM 2018. v2: a few typos corrected.

Abstract

We propose a conjectural construction of various slices for double affine Grassmannians as Coulomb branches of 3-dimensional N=4 supersymmetric affine quiver gauge theories. It generalizes the known construction for the usual affine Grassmannian, and makes sense for arbitrary symmetric Kac-Moody algebras.

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