Quotient Quiver Subtraction -- Classical Groups
Sam Bennett, Amihay Hanany, Guhesh Kumaran

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 quiver gauge theories. This paper uses Type IIB brane constructions with planes to extend the prescription to gauge , and 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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology
