Supersymmetric unification and R symmetries
Abstract
We review the role of R symmetries in models of supersymmetric unification in four and more dimensions, and in string theory. We show that, if one demands anomaly freedom and fermion masses, only R symmetries can forbid the supersymmetric Higgs mass term mu. We then review the proof that R symmetries are not available in conventional grand unified theories (GUTs) and argue that this prevents natural solutions to the doublet-triplet splitting problem in four dimensions. On the other hand, higher-dimensional GUTs do not suffer from this problem. We briefly comment on an explicit string-derived model in which the mu and dimension five proton decay problems are solved simultaneously by an order four discrete R symmetry. We also comment on the higher-dimensional origin of this symmetry.
Keywords
Cite
@article{arxiv.1211.6247,
title = {Supersymmetric unification and R symmetries},
author = {Mu-Chun Chen and Maximilian Fallbacher and Michael Ratz},
journal= {arXiv preprint arXiv:1211.6247},
year = {2015}
}
Comments
17 pages, based on invited talks given at String Phenomenology 2012, CETUP 2012, PACIFIC 2012, the 4th Bethe Center Workshop and the Universe Cluster Science Week 2012