Coulomb Branch of a Multiloop Quiver Gauge Theory

E. A. Goncharov, M. V. Finkelberg

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1 Citation (Scopus)


We compute the Coulomb branch of a multiloop quiver gauge theory for the quiver with a single vertex, r loops, one-dimensional framing, and dim V = 2. We identify it with a Slodowy slice in the nilpotent cone of the symplectic Lie algebra of rank r. Hence it possesses a symplectic resolution with 2r fixed points with respect to a Hamiltonian torus action. We also identify its flavor deformation with a base change of the full Slodowy slice.

Original languageEnglish
Pages (from-to)241-249
Number of pages9
JournalFunctional Analysis and its Applications
Issue number4
Publication statusPublished - 1 Oct 2019


  • Coulomb branch of a quiver gauge theory
  • Slodowy slice


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