Non-Abelian discrete R symmetries
Abstract
We discuss non-Abelian discrete R symmetries which might have some conceivable relevance for model building. The focus is on settings with 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 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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- September 2013
- DOI:
- 10.1007/JHEP09(2013)096
- arXiv:
- arXiv:1306.5112
- Bibcode:
- 2013JHEP...09..096C
- Keywords:
-
- Supersymmetric gauge theory;
- Supersymmetric Standard Model;
- Discrete and Finite Symmetries;
- Anomalies in Field and String Theories;
- High Energy Physics - Phenomenology
- E-Print:
- 21 pages