Quotient Quiver Subtraction -- Classical Groups

TL;DR

This paper extends the quotient quiver subtraction method to classical groups using Type IIB brane constructions, enabling new insights into Coulomb and Higgs branches of 3d $ ext{N}=4$ theories and higher-dimensional SCFTs.

Contribution

It introduces a brane-based extension of quotient quiver subtraction for classical groups, incorporating additional steps that alter the graph type for gauging Coulomb branch isometries.

Findings

Extended the subtraction method to $ ext{Sp}(n)$ and $ ext{SO}(n)$ groups.

Provided alternative Higgs branch constructions for certain SCFTs.

Demonstrated the method's applicability to higher-dimensional theories.

Abstract

Quotient quiver subtraction is a simple combinatorial prescription for gauging Coulomb branch isometry subgroups of 3d $\mathcal{N}=4$ quiver gauge theories. This paper uses Type IIB brane constructions with $\mathrm{O5}$ planes to extend the prescription to gauge $\mathrm{Sp}(n),\;\mathrm{SO}(n)$, and $\mathrm{Sp}(n)$ coupled to a half-hypermultiplet Coulomb branch isometry subgroups of quivers with unitary gauge groups. The gauging procedure is no longer solely a subtraction -- additional steps change the graph type. The method is applied to provide alternative constructions of the Higgs branch of certain SCFTs in higher dimensions.