Email this article Coulomb Branch of a Multiloop Quiver Gauge Theory
- Authors: Goncharov E.A.1,2, Finkelberg M.V.1,3,4
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Affiliations:
- National Research University Higher School of Economics
- Center for Mathematical Sciences, Cambridge University
- Skolkovo Institute of Science and Technology
- Institute for Information Transmission Problems
- Issue: Vol 53, No 4 (2019)
- Pages: 241-249
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234644
- DOI: https://doi.org/10.1134/S0016266319040014
- ID: 234644
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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 identify its flavor deformation with a base change of the full Slodowy slice.
About the authors
E. A. Goncharov
National Research University Higher School of Economics; Center for Mathematical Sciences, Cambridge University
Author for correspondence.
Email: eagoncharov@edu.hse.ru
Russian Federation, Moscow; Cambridge
M. V. Finkelberg
National Research University Higher School of Economics; Skolkovo Institute of Science and Technology; Institute for Information Transmission Problems
Email: eagoncharov@edu.hse.ru
Russian Federation, Moscow; Moscow; Moscow
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