Discrete gauging and Hasse diagrams

We analyse the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups (SU) over tilde (N) = SU(N) (sic)(I,I I) Z(2) whose study was initiated in [1]. We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d 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.

Automated summary

The study analyses the Higgs branch of 4d N = 2 SQCD gauge theories with non-connected gauge groups. Hasse diagrams are derived corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. 3d N = 4 magnetic quivers for the Higgs branches in the type I discrete gauging case are proposed, and extensive checks are provided by means of Coulomb branch Hilbert series computations.