# Minimally unbalanced quivers

Cabrera, Santiago (0000 0001 2113 8111, Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom) ; Hanany, Amihay (0000 0001 2113 8111, Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom) ; Zajac, Anton (0000 0001 2113 8111, Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom)

28 February 2019

Abstract: We develop a classification of minimally unbalanced 3 d N = 4 $\mathcal{N}=4$ 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 3 d N = 4 $\mathcal{N}=4$ quivers are indispensable tools for describing Higgs branches of different theories in various dimensions. In particular, they are used to describe Higgs branches of 5 d N = 1 $\mathcal{N}=1$ SQCD with gauge group SU( N c ) and 6 d N = 1 0 $\mathcal{N}=\left(1,0\right)$ SQCD with gauge group Sp( N c ) at the respective UV fixed points.

Published in: JHEP 1902 (2019) 180