Abstract
We develop a new method for constructing 3d\( \mathcal{N}=4 \) Coulomb branch chiral rings in terms of gauge-invariant generators and relations while making the global symmetry manifest. Our examples generalise to all balanced quivers of type A and D whose Coulomb branches are closures of nilpotent orbits. This new approach is a synthesis of operator counting using Hilbert series and explicit algebraic construction introduced by Bullimore, Dimofte and Gaiotto with significant potential for further generalisation to other quivers, including non-simply laced. The method also identifies complex mass deformations of many Coulomb branches, providing an explicit construction for complex deformations of nilpotent orbits.
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Hanany, A., Miketa, D. Nilpotent orbit Coulomb branches of types AD. J. High Energ. Phys. 2019, 113 (2019). https://doi.org/10.1007/JHEP02(2019)113
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DOI: https://doi.org/10.1007/JHEP02(2019)113