Coulomb branch of a multiloop quiver gauge theory

Abstract

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 idenfity its flavor deformation with a base change of the full Slodowy slice.

v2: references updated, numeration of sections changed compatibly with the final published version

References in corpus (4)

• Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)
• Quiver Theories and Formulae for Slodowy Slices of Classical Algebras
• Generators for Coulomb branches of quiver gauge theories
• Four-dimensional conical symplectic hypersurfaces

Cited by in corpus (1)

• Generators for Coulomb branches of quiver gauge theories