Abstract
We study two types of discrete operations on Coulomb branches of 3d mathcal{N} = 4 quiver gauge theories using both abelianisation and the monopole formula. We generalise previous work on discrete quotients of Coulomb branches and introduce novel wreathed quiver theories. We further study quiver folding which produces Coulomb branches of non-simply laced quivers. Our methods explicitly describe Coulomb branches in terms of generators and relations including mass deformations.
Highlights
The purpose of this work is to clarify the relation between several concepts relating to 3d N = 4 Coulomb branches
We study two types of discrete operations on Coulomb branches of 3d N = 4 quiver gauge theories using both abelianisation and the monopole formula
It has been known since [1] that the Coulomb branch monopole formula [2] can be extended to quivers in the form of non- laced framed Dynkin diagrams
Summary
In [20] the authors identified that discrete quotients of certain minimal nilpotent orbits were equivalent to (generically non-minimal) nilpotent orbits of other algebras; their results are summarised in table 2.4 The same pattern is observed in discrete gauging and we claim that our construction is a physical realisation of their cases 1,2,3,4 and 9. We empirically confirmed this conjecture using both Hilbert series and abelianisation methods as in [7] up to low but non-trivial rank. The HWGs are under control, and are discussed briefly at the end of section 3.5
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