Exceptional moduli spaces for exceptional N = 3 theories

Justin Kaidi, Mario Martone, Gabi Zafrir

Research output: Contribution to journalArticlepeer-review


It is expected on general grounds that the moduli space of 4d 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 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 N = 3 theories proposed in [1], constructed via non-geometric quotients of type-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 N = 3 theories going beyond simple S-folds.

Original languageEnglish
Article number264
JournalJournal of High Energy Physics
Issue number8
StatePublished - Aug 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).


  • Conformal Field Models in String Theory
  • M-Theory
  • P-Branes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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