Coulomb branches of quiver gauge theories with symmetrizers
Hiraku Nakajima, Alex Weekes
Abstract
We generalize the mathematical definition of Coulomb branches of 3 -dimensional \mathcal N= 4 SUSY quiver gauge theories due to Nakajima (2016) and Braverman et al. (2018, 2019) 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 .
Topics & Concepts
QuiverMathematicsCoulombGauge theoryGauge (firearms)Mathematical physicsGauge fixingPure mathematicsTheoretical physicsAlgebra over a fieldQuantum mechanicsPhysicsGauge bosonGeographyElectronArchaeologyAlgebraic structures and combinatorial modelsBlack Holes and Theoretical PhysicsAdvanced Topics in Algebra