Coulomb branches of quiver gauge theories with symmetrizers

  • Hiraku Nakajima

    The University of Tokyo, Kashiwa; Kyoto University, Japan
  • Alex Weekes

    University of Saskatchewan, Canada
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Abstract

We generalize the mathematical definition of Coulomb branches of -dimensional 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 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 .

Cite this article

Hiraku Nakajima, Alex Weekes, Coulomb branches of quiver gauge theories with symmetrizers. J. Eur. Math. Soc. 25 (2023), no. 1, pp. 203–230

DOI 10.4171/JEMS/1176