Quiver theories for moduli spaces of classical group nilpotent orbits
File(s)
Published version
Author(s)
Hanany, A
Kalveks, R
Type
Journal Article
Abstract
We approach the topic of Classical group nilpotent orbits from the perspective of the moduli spaces of quivers, described in terms of Hilbert series and generating functions. We review the established Higgs and Coulomb branch quiver theory constructions for A series nilpotent orbits. We present systematic constructions for BCD series nilpotent orbits on the Higgs branches of quiver theories defined by canonical partitions; this paper collects earlier work into a systematic framework, filling in gaps and providing a complete treatment. We find new Coulomb branch constructions for above minimal nilpotent orbits, including some based upon twisted affine Dynkin diagrams. We also discuss aspects of 3d mirror symmetry between these Higgs and Coulomb branch constructions and explore dualities and other relationships, such as HyperKähler quotients, between quivers. We analyse all Classical group nilpotent orbit moduli spaces up to rank 4 by giving their unrefined Hilbert series and the Highest Weight Generating functions for their decompositions into characters of irreducible representations and/or Hall Littlewood polynomials.
Date Issued
2016-06-21
Date Acceptance
2016-06-07
Citation
Journal of High Energy Physics, 2016, 2016
ISSN
1126-6708
Publisher
Springer Verlag
Journal / Book Title
Journal of High Energy Physics
Volume
2016
Copyright Statement
© The Author(s) 2016. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.
License URL
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Global Symmetries
Supersymmetric gauge theory
GAUGE-THEORIES
INSTANTONS
GEOMETRY
DUALITY
Nuclear & Particles Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published
Article Number
130