2017arXiv (Cornell University)Open access

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

Michael Finkelberg

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Abstract

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

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

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

Key concepts: Quiver, Affine transformation, Gauge theory, Coulomb, Grassmannian, Gauge (firearms), Mathematics, Pure mathematics

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