Coulomb Branch Global Symmetry and Quiver Addition

Abstract

To date, the best effort made to simply determine the Coulomb branch global symmetry of a theory from a $3d$ $\mathcal{N}=4$ quiver is by applying an algorithm based on its balanced gauge nodes. This often gives the full global symmetry, but there have been many cases seen where it instead gives only a subgroup. This paper presents a method for constructing several families of $3d$ $\mathcal{N}=4$ unitary quivers where the true global symmetry is enhanced from that predicted by the balance algorithm, motivated by the study of Coulomb branch Hasse diagrams. This provides a rich list of examples on which to test improved algorithms for unfailingly identifying the Coulomb branch global symmetry from a quiver.

References in corpus (3)

• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Branes and the Kraft-Procesi Transition
• Highest Weight Generating Functions for Hilbert Series

Cited by in corpus (7)

• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Magnetic quivers for rank 2 theories
• Fibrations and Hasse diagrams for 6d SCFTs
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Poisson Brackets for some Coulomb Branches