A Note on Non-Flat Points in the SU(5)× U(1) PQ F-Theory Model

Abstract

Non-flat fibrations often appear in F-theory GUT models, and their interpretation is still somewhat mysterious. In this note we explore this issue in a model of particular phenomenological interest, the global SU(5)× U(1) Peccei-Quinn F-theory model. We present evidence that co-dimension three non-flat fibres give rise to higher order couplings in the effective four-dimensional superpotential. More specifically, in our example we find 10\, 5\, 5\, 5 couplings.

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