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arXiv · 1807.11491

Nilpotent orbit Coulomb branches of types AD

Amihay Hanany·Dominik Miketa
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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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Amihay Hanany, Dominik Miketa. 2019-01-22. Nilpotent orbit Coulomb branches of types AD. https://doi.org/10.1007/jhep02(2019)113

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