Discrete gauging and Hasse diagrams

Abstract

We analyse the Higgs branch of 4d $\mathcal{N}=2$ SQCD gauge theories with non-connected gauge groups $\widetilde{\mathrm{SU}}(N)=\mathrm{SU}(N){⋊}_{I,II}{\mathbb{Z}}_2$ 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.

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Cited by in corpus (10)

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• Disconnected 0-Form and 2-Group Symmetries
• Higgs branch RG-flows via Decay and Fission
• Outer Automorphism Anomalies
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• Disconnected gauge groups in the infrared
• Quiver Polymerisation
• FI-flows of 3d N=4 Theories