Minimally Unbalanced Quivers

Abstract

We develop a classification of \emph{minimally unbalanced} $3d\mathcal{N}=4$ quiver gauge theories. These gauge theories are important because the isometry group $G$ of their Coulomb branch contains a single factor, which is either a classical or an exceptional Lie group. Concurrently, this provides a classification of hyperkähler cones with isometry group $G$ which are obtainable by Coulomb branch constructions. HyperKähler cones such as Coulomb branches of $3d\mathcal{N}=4$ quivers are indispensable tools for describing Higgs branches of different theories in various dimensions. In particular, they are used to describe Higgs branches of $5d\mathcal{N}=1$ SQCD with gauge group $SU(N_c)$ and $6d\mathcal{N}=(1,0)$ SQCD with gauge group $Sp(N_c)$ at the respective UV fixed points.

arXiv comment59 pages

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Cited by in corpus (11)

• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Trifectas for $T_N$ in 5d
• Magnetic quivers for rank 1 theories
• Magnetic Lattices for Orthosymplectic Quivers
• Magnetic quivers for rank 2 theories
• Hasse Diagrams for $3d$ $\mathcal{N}=4$ Quiver Gauge Theories -- Inversion and the full Moduli Space
• Coulomb Branch Global Symmetry and Quiver Addition
• Ungauging Schemes and Coulomb Branches of Non-simply Laced Quiver Theories
• 5d SCFTs from $(E_n,E_m)$ Conformal Matter
• The Higgs branch of Heterotic ALE instantons
• Branes, Quivers, and the Affine Grassmannian