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Discrete gauging and Hasse diagrams

by Guillermo Arias-Tamargo, Antoine Bourget, Alessandro Pini

Submission summary

As Contributors: Antoine Bourget
Arxiv Link: https://arxiv.org/abs/2105.08755v2 (pdf)
Date accepted: 2021-08-04
Date submitted: 2021-07-27 17:16
Submitted by: Bourget, Antoine
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory

Abstract

We analyse the Higgs branch of 4d $\mathcal{N}=2$ SQCD gauge theories with non-connected gauge groups $\widetilde{\mathrm{SU}}(N) = \mathrm{SU}(N) \rtimes_{I,II} \mathbb{Z}_2$ whose study was initiated in arXiv:1804.01108. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d $\mathcal{N}=4$ magnetic quivers for the Higgs branches in the type $I$ discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.

Published as SciPost Phys. 11, 026 (2021)



List of changes

The following changes were made at the request of the referees (more explanations are given in the individual answers).
- Discussion of how to recognize slices at the beginning of Section 3
- Definition of wreathed product at the beginning of Section 4.1
- Paragraph added in Section 4.3 to explain the distinction between 3d mirror symmetry and magnetic quiver.
- Footnotes 5 and 7 added.
- Equations (4.20)-(4.22) added.

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