Abstract
We analyse the Higgs branch of 4d \mathcal{N}=2𝒩=2 SQCD gauge theories with non-connected gauge groups \widetilde{\mathrm{SU}}(N) = \mathrm{SU}(N) \rtimes_{I,II} \mathbb{Z}_2SŨ(N)=SU(N)⋊I,IIℤ2 whose study was initiated in . We derive the Hasse diagrams corresponding to the Higgs mechanism using adapted characters for representations of non-connected groups. We propose 3d \mathcal{N}=4𝒩=4 magnetic quivers for the Higgs branches in the type II discrete gauging case, in the form of recently introduced wreathed quivers, and provide extensive checks by means of Coulomb branch Hilbert series computations.
Highlights
A The groups SU(N ) and their characters A.1 Definition of SU(N ) A.2 Maximal tori and Cartan Subgroups A.3 Characters
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
In particular we studied how the global structure of these groups affects the Hasse diagrams for the Higgs branch of supersymmetric gauge theories
Summary
Gauge theories play a central role in the current description of high energy physics. The outer automorphisms for a simple complex Lie algebra correspond to the symmetries of its Dynkin diagram, and the the resulting non laced algebra is obtained by folding it In particular it was studied how the Superconformal Index (SCI) [20, 21] of a 4d N = 2 class S theory is affected by the twist of this symmetry. Similar ideas are considered in [27], where 3d mirror theories of class S theories of type A2N with twisted punctures compactified on S1 are derived Another possibility offered by outer automorphisms is to promote them to gauge symmetries, in effect extending the gauge group and making it disconnected. The appendices gather basic definitions and technicalities regarding SU(N ) groups
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
