Three-Family $SO(10)$ Grand Unification in String Theory

TL;DR

This paper constructs a supersymmetric $SO(10)$ grand unified model within four-dimensional heterotic string theory, featuring multiple families and a specific Higgs field, advancing string-based unification models.

Contribution

It presents a novel heterotic string model with a unique family structure and current algebra level, contributing to string theory-based grand unification research.

Findings

Realizes a supersymmetric $SO(10)$ GUT with 7 families.

Incorporates an $SO(10)$ adjoint Higgs field.

Achieves current algebra at level 3.

Abstract

The construction of a supersymmetric $SO(10)$ grand unification with 5 left-handed and 2 right-handed families in the four-dimensional heterotic string theory is presented. The model has one $SO(10)$ adjoint Higgs field. The $SO(10)$ current algebra is realized at level 3.