Flavor structure in $SO(32)$ heterotic string theory

TL;DR

This paper investigates the flavor structure in $SO(32)$ heterotic string theory compactified on a six-dimensional torus with magnetic fluxes, demonstrating models with realistic quark masses and mixing angles.

Contribution

It introduces models with specific flavor symmetries $SU(3)_f$ and $ riangle(27)$ within $SO(32)$ heterotic string theory, achieving realistic quark phenomenology.

Findings

Realistic quark masses achieved

Mixing angles consistent with observations

Models with $SU(3)_f$ and $ riangle(27)$ flavor symmetries

Abstract

We study the flavor structure in $SO(32)$ heterotic string theory on six-dimensional torus with magnetic fluxes. In particular, we focus on models with the flavor symmetries $SU(3)_f$ and $\Delta(27)$. In both models, we can realize the realistic quark masses and mixing angles.