Non-Abelian discrete R symmetries

Understand

We discuss non-Abelian discrete R symmetries which might have some conceivable relevance for model building.

• The focus is on settings with N=1 supersymmetry, where the superspace coordinate transforms in a one-dimensional representation of the non-Abelian discrete symmetry group.
• We derive anomaly constraints for such symmetries and find that novel patterns of Green-Schwarz anomaly cancellation emerge.
• In addition we show that perfect groups, also in the non-R case, are always anomaly-free.