On F-theory E_6 GUTs

TL;DR

This paper constructs E_6 Grand Unified Theories within F-theory using spectral cover methods and gauge fluxes, deriving models that resemble the MSSM and analyzing their phenomenological implications.

Contribution

It introduces a novel approach to building E_6 GUTs in F-theory with specific flux configurations, leading to realistic gauge groups and phenomenology.

Findings

Successfully constructed E_6 GUT models with desired gauge groups.

Demonstrated the use of spectral cover and fluxes in model building.

Discussed phenomenological aspects of the resulting models.

Abstract

We approach the Minimum Supersymmetric Standard Model (MSSM) from an E_6 GUT by using the spectral cover construction and non-abelian gauge fluxes in F-theory. We start with an E_6 singularity unfolded from an E_8 singularity and obtain E_6 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.