On F-theory E6 GUTs

Abstract

We approach the Minimum Supersymmetric Standard Model (MSSM) from an E6 GUT by using the spectral cover construction and non-abelian gauge fluxes in F-theory. We start with an E6 singularity unfolded from an E8 singularity and obtain E6 GUTs by using an SU(3) spectral cover. By turning on SU(2) X U(1)2 gauge fluxes, we obtain a rank 5 model with the gauge group SU(3) X SU(2) X U(1)2. Based on the well-studied geometric backgrounds in the literature, we demonstrate several models and discuss their phenomenology.

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