Flipped SU(5) GUTs from E 8 singularities in F-theory

Abstract

In this paper we construct supersymmetric flipped SU(5) GUTs from E 8 singularities in F-theory. We start from an SO(10) singularity unfolded from an E 8 singularity by using an SU(4) spectral cover. To obtain realistic models, we consider (3, 1) and (2, 2) factorizations of the SU(4) cover. After turning on the massless U(1) X gauge flux, we obtain the SU(5) × U(1) X gauge group. Based on the well-studied geometric backgrounds in the literature, we demonstrate several models and discuss their phenomenology.