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2019

Coulomb branch of a multiloop quiver gauge theory

Finkelberg, Michael, Goncharov, Evgeny

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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.

Coulomb branch of a multiloop quiver gauge theory · Around

Built on

A. Weekes, Generators for Coulomb branches of quiver gauge theories
Original
1903
Earlier work this paper cites.
R. Yamagishi, Four-dimensional conical symplectic hypersurfaces
Original
1908
Earlier work this paper cites.
P. Slodowy, Simple Singularities and Simple algebraic groups
1980
Earlier work this paper cites.

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