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

• Received 27 July 2016

DOI:https://doi.org/10.1103/PhysRevD.94.126020