Coulomb branches of quiver gauge theories with symmetrizers

Abstract

We generalize the mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ SUSY quiver gauge theories in arXiv:1503.03676, arXiv:1601.03686, arXiv:1604.03625 to the cases with symmetrizers. We obtain generalized affine Grassmannian slices of type $BCFG$ as examples of the construction, and their deformation quantizations via truncated shifted Yangians. Finally, we study modules over these quantizations and relate them to the lower triangular part of the quantized enveloping algebra of type $ADE$.

23 pages, A video of a talk on this paper is available at https://www.youtube.com/watch?v=eK7DQEtSpyY; v2. Readability is improved according to referees' suggestions. 26 pages

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• Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
• Towards geometric Satake correspondence for Kac-Moody algebras -- Cherkis bow varieties and affine Lie algebras of type $A$
• Gauge origami and quiver W-algebras
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• Double Quiver Gauge Theory and BPS/CFT Correspondence
• PBW parametrizations and generalized preprojective algebras
• Atomic Higgsings of 6D SCFTs
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• Some Open Questions in Quiver Gauge Theory
• Note on some properties of generalized affine Grassmannian slices
• Deformed Cartan matrices and generalized preprojective algebras II: General type
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• Double-affine Kazhdan-Lusztig polynomials via masures
• Bethe/Gauge correspodence: a short review on an aspect of the integrability nature of supersymmetric gauge theories
• Integrable system on minimal nilpotent orbit
• Equivariant homology theory and twisted Yangian