Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models

TL;DR

This paper explores how non-abelian discrete flavor symmetries like D4, Delta(27), and Delta(54) emerge in magnetized and intersecting brane models, including effects of orbifold backgrounds on symmetry breaking.

Contribution

It demonstrates the realization of specific non-abelian flavor symmetries in magnetized brane setups and analyzes their behavior under orbifold backgrounds.

Findings

Non-abelian discrete symmetries can appear in magnetized brane models.

Matter fields with multiple representations are possible.

Orbifold backgrounds can break these symmetries in controlled ways.

Abstract

We study non-abelian discrete flavor symmetries, which can appear in magnetized brane models. For example, $D_4$, $\Delta(27)$ and $\Delta(54)$ can appear and matter fields with several representations can appear. We also study the orbifold background, where non-abelian flavor symmetries are broken in a certain way.