2011

F-theory GUTs with U(1) Symmetries: Generalities and Survey

Dolan, Matthew J., Marsano, Joseph, Saulina, Natalia et al.

Understand

We study the structure of SU(5) F-theory GUT models that engineer additional U(1) symmetries.

  • These are highly constrained by a set of relations observed by Dudas and Palti (DP) that originate from the physics of 4D anomaly cancellation.
  • Using the DP relations, we find a general tension between unification and the suppression of dimension 5 proton decay when one or more U(1)'s are PQ symmetries and hypercharge flux is used to break the SU(5) GUT group.
  • We then specialize to spectral cover models, whose global completions in F- theory we know how to construct.

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