Folding Orthosymplectic Quivers

TL;DR

This paper introduces a new class of folded orthosymplectic quivers via brane intersections, revealing their Coulomb branches as nilpotent orbit closures and connecting them to Higgs branches of 4d N=2 theories.

Contribution

It extends folding techniques to orthosymplectic quivers, constructs their monopole formulas, and links their Coulomb branches to exceptional algebra nilpotent orbits.

Findings

Coulomb branches correspond to closures of minimal nilpotent orbits of exceptional algebras.

New magnetic quiver realizations of Higgs branches of 4d N=2 theories.

Derived Hasse diagrams via quiver subtraction and Kraft-Procesi transitions.

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.