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Supersymmetric unification and R symmetries
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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.
Forward citations
Cited by 2 Pith papers
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Aspects of the WIMP quality problem and R-parity violation in natural supersymmetry with all axion dark matter
In natural supersymmetry with discrete R-symmetries, R-parity violation at the 1e-7 level can make the lightest supersymmetric particle decay before nucleosynthesis, leaving only axion dark matter, and LHC non-observa...
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Serendipitous supersymmetric solution to the strong CP problem
Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
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