Journal of High Energy Physics

, 2019:113 | Cite as

Nilpotent orbit Coulomb branches of types AD

  • Amihay Hanany
  • Dominik MiketaEmail author
Open Access
Regular Article - Theoretical Physics


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.


Field Theories in Lower Dimensions Global Symmetries Solitons Monopoles and Instantons Supersymmetric Gauge Theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Theoretical Physics, The Blackett LaboratoryImperial College LondonLondonU.K.

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