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Quotient Quiver Subtraction -- Classical Groups

Sam Bennett, Amihay Hanany, Guhesh Kumaran

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.

Quotient Quiver Subtraction -- Classical Groups

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.
Paper Structure (6 sections, 2 equations, 1 table)

This paper contains 6 sections, 2 equations, 1 table.

Table of Contents

  1. Introduction
  2. Organisation of the paper.
  3. Type IIB Brane Systems
  4. Reading quivers from brane systems
  5. Weyl Integration
  6. $\mathrm{Sp}(n)\;$ Quotient Quivers