Flavor structure from magnetic fluxes and non-Abelian Wilson lines

TL;DR

This paper investigates how magnetic fluxes and non-Abelian Wilson lines in extra dimensions influence the flavor structure of four-dimensional effective theories, including wavefunctions, Yukawa couplings, and discrete flavor symmetries.

Contribution

It provides a detailed analysis of zero-mode wavefunctions, Yukawa couplings, and non-Abelian discrete flavor symmetries arising from extra-dimensional models with magnetic fluxes and Wilson lines.

Findings

Explicit computation of zero-mode wavefunctions.

Derivation of Yukawa and four-point couplings.

Identification of non-Abelian discrete flavor symmetries.

Abstract

We study the flavor structure of 4D effective theories, which are derived from extra dimensional theories with magnetic fluxes and non-Abelian Wilson lines. We study zero-mode wavefunctions and compute Yukawa couplings as well as four-point couplings. In our models, we also discuss non-Abelian discrete flavor symmetries such as $D_4$, $\Delta(27)$ and $\Delta(54)$.