Natural F-theory constructions of Standard Model structure from $E_7$ flux breaking

TL;DR

This paper constructs a broad class of 4D F-theory models where an $E_7$ gauge group is broken via fluxes to produce the Standard Model, including models with three generations of chiral matter.

Contribution

It introduces a new framework for realizing Standard Model structures from $E_7$ flux breaking in F-theory, highlighting models with realistic three-generation matter content.

Findings

Many models with $E_7$ flux breaking lead to Standard Model gauge groups.

Large families of models with an intermediate $ ext{SU}(5)$ group are identified.

Three generations of chiral matter can be achieved in these models.

Abstract

We describe a broad class of 4D F-theory models in which an $E_7$ gauge group is broken through fluxes to the Standard Model gauge group. These models are ubiquitous in the 4D F-theory landscape and can arise from flux breaking of most models with $E_7$ factors. While in many cases the $E_7$ breaking leads to exotic matter, there are large families of models in which the Standard Model gauge group and chiral matter representations are obtained through an intermediate $\mathrm{SU}(5)$ group. The number of generations of matter appearing in these models can easily be small. We demonstrate the possibility of getting three generations of chiral matter as the preferred matter content.