Abstract
It is expected on general grounds that the moduli space of 4d mathcal{N} = 3 theories is of the form ℂ3r/Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of several infinite families, together with some exceptionals. To date, no 4d mathcal{N} = 3 theory with moduli space labelled by an exceptional CCRG (excluding Weyl groups) has been identified. In this work we show that the 4d mathcal{N} = 3 theories proposed in [1], constructed via non-geometric quotients of type- mathfrak{e} 6d (2,0) theories, realize nearly all such exceptional moduli spaces. In addition, we introduce an extension of this construction to allow for twists and quotients by outer automorphism symmetries. This gives new examples of 4d mathcal{N} = 3 theories going beyond simple S-folds.
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
