Minimally unbalanced quivers
Santiago Cabrera (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom); Amihay Hanany (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom); Anton Zajac (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom)
We develop a classification of minimally unbalanced 3d N=4 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 N=4 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 N=1 N=1 SQCD with gauge group SU(N c ) and 6d N=(1,0) N=(1,0) SQCD with gauge group Sp(N c) at the respective UV fixed points.