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arXiv · 1903.05822

Coulomb branch of a multiloop quiver gauge theory

Michael Finkelberg·Evgeny Goncharov
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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.

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Michael Finkelberg, Evgeny Goncharov. 2019-03-14. Coulomb branch of a multiloop quiver gauge theory. https://arxiv.org/abs/1903.05822

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