Rogers, Jamie and Tatar, Radu
(2019)
<i>D<sub>n</sub></i> Dynkin quiver moduli spaces.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 52 (42).
p. 425401.
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Abstract
We study 3d quiver gauge theories with gauge nodes forming a D n Dynkin diagram and their relation to nilpotent varieties in . The class of good D n Dynkin quivers is completely characterised and the moduli space singularity structure fully determined for all such theories. The class of good D n Dynkin quivers is denoted where is an integer, and are integer partitions and denotes membership of one of two broad subclasses. Small subclasses of these quivers are known to realise some nilpotent varieties with their moduli space branches. We fully determine which nilpotent varieties are realisable as D n Dynkin quiver moduli spaces and which are not. Quiver addition is introduced and is used to give large subclasses of D n Dynkin quivers poset structure. The partial ordering is determined by inclusion relations for the moduli space branches. The resulting Hasse diagrams are used to both classify D n Dynkin quivers and determine the moduli space singularity structure for an arbitrary good theory. The poset constructions and local moduli space analyses are complemented throughout by explicit checks utilising moduli space dimension matching.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | quiver gauge theory, low dimensional field theory, moduli space of vacua, nilpotent varieties in Lie algebras |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 27 Jun 2019 07:40 |
| Last Modified: | 14 Oct 2023 09:30 |
| DOI: | 10.1088/1751-8121/ab4344 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3047580 |
Dimensions
Dimensions
