Abstract
Folding identical legs of a simply-laced quiver creates a quiver with a non-simply laced edge. So far, this has been explored for quivers containing unitary gauge groups. In this paper, orthosymplectic quivers are folded, giving rise to a new family of quivers. This is realised by intersecting orientifolds in the brane system. The monopole formula for these non-simply laced orthosymplectic quivers is introduced. Some of the folded quivers have Coulomb branches that are closures of minimal nilpotent orbits of exceptional algebras, thus providing a new construction of these fundamental moduli spaces. Moreover, a general family of folded orthosymplectic quivers is shown to be a new magnetic quiver realisation of Higgs branches of 4d mathcal{N} = 2 theories. The Hasse (phase) diagrams of certain families are derived via quiver subtraction as well as Kraft-Procesi transitions in the brane system.
Highlights
The concept of folding, in the sense that identical legs of -laced quivers are folded into a quiver with a non- laced edge, has been studied recently in the context of the Coulomb branch Hilbert series of 3d N = 4 quivers [2,3,4,5]
The Coulomb branch Hilbert series can be readily computed via the monopole formula [1, 6]
One purpose of this paper is to demonstrate that these quivers can provide new magnetic quiver constructions of known moduli spaces and in many cases lead to new interesting moduli spaces
Summary
The notion of a magnetic quiver was recently introduced and studied in [14, 15, 21,22,23,24,25,26,27]. A given hyper-Kähler moduli space X is said to have a magnetic quiver construction if there exist finitely many quivers Qi such that. Each magnetic quiver is taken as input data for a 3d N = 4 Coulomb branch C3d(Qi) and each of them is a symplectic singularity [28] itself; in contrast, X might be a union of hyper-Kähler cones. Note that 3d N = 4 Coulomb branches are used only as a black box to construct moduli spaces of theories that do not need to be three dimensional. It is important to note that the magnetic quiver construction is not unique, as there are several known examples for which different magnetic quivers describe the same space X.
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