English

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

High Energy Physics - Theory 2019-05-15 v3

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)SU(5)\times 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 10555\mathbf{10}\, \mathbf{5}\, \mathbf{5}\, \mathbf{5} couplings.

Keywords

Cite

@article{arxiv.1806.05612,
  title  = {A Note on Non-Flat Points in the $SU(5)\times U(1)$ PQ F-Theory Model},
  author = {Ismail Achmed-Zade and Iñaki García-Etxebarria and Christoph Mayrhofer},
  journal= {arXiv preprint arXiv:1806.05612},
  year   = {2019}
}

Comments

26 pages. v2: Revised version to appear in JHEP. v3: Additional discussion in the conclusions