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arXiv · 1404.6720

F-GUTs with Mordell-Weil U(1)'s

I. Antoniadis·G. K. Leontaris
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Abstract

In this note we study the constraints on F-theory GUTs with extra $U(1)$'s in the context of elliptic fibrations with rational sections. We consider the simplest case of one abelian factor (Mordell-Weil rank one) and investigate the conditions that are induced on the coefficients of its Tate form. Converting the equation representing the generic hypersurface $P_{112}$ to this Tate's form we find that the presence of a U(1), already in this local description, is consistent with the exceptional ${\cal E}_6$ and ${\cal E}_7$ non-abelian singularities. We briefly comment on a viable ${\cal E}_6\times U(1)$ effective F-theory model.

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I. Antoniadis, G. K. Leontaris. 2014-07-08. F-GUTs with Mordell-Weil U(1)'s. https://doi.org/10.1016/j.physletb.2014.06.044

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