UC Irvine

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. An important property of models with non-Abelian discrete R symmetries is that superpartners come in different representations of the group. We present an example model, based on a Z 3 Z8R symmetry, to discuss generic features of models which unify discrete R symmetries, entailing solutions to the μ and proton decay problems of the MSSM, with non-Abelian discrete flavor symmetries. © 2013 SISSA, Trieste, Italy.