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No-go theorems for R symmetries in four-dimensional GUTs · Around

2011

No-go theorems for R symmetries in four-dimensional GUTs

Fallbacher, Maximilian, Ratz, Michael, Vaudrevange, Patrick K. S.

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We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry.

This implies that no MSSM model with either a Z_{M>=3}^R or U(1)_R symmetry can be completed by a four-dimensional GUT in the ultraviolet.
However, our no-go theorem does not apply to GUT models with extra dimensions.
We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the mu term.

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