Abstract
We develop a classification of 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(Nc) and 6d\( \mathcal{N}=\left(1,0\right) \) SQCD with gauge group Sp(Nc) at the respective UV fixed points.
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Cabrera, S., Hanany, A. & Zajac, A. Minimally unbalanced quivers. J. High Energ. Phys. 2019, 180 (2019). https://doi.org/10.1007/JHEP02(2019)180
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DOI: https://doi.org/10.1007/JHEP02(2019)180