# Flavour mixings in flux compactifications

## TL;DR

This paper explores how flux compactifications in a 6D supersymmetric SO(10) model naturally generate quark and lepton families, with flavor structures determined by zero-mode wave functions, and analyzes the resulting flavor mixing patterns.

## Contribution

It introduces a flux compactification model with specific bulk multiplets that produce realistic flavor structures and discusses zero-mode wave functions' role in flavor mixing.

## Key findings

- Zero-modes form vectorlike split multiplets for flavor phenomenology
- Pattern of flavor mixing for the two heaviest SM families analyzed
- Framework can be extended to three or more generations

## Abstract

A multiplicity of quark-lepton families can naturally arise as zero-modes in flux compactifications. The flavour structure of quark and lepton mass matrices is then determined by the wave function profiles of the zero-modes. We consider a supersymmetric $SO(10)\times U(1)$ model in six dimensions compactified on the orbifold $T^2/{\mathbb Z_2}$ with Abelian magnetic flux. A bulk $\mathbf{16}$-plet charged under the $U(1)$ provides the quark-lepton generations whereas two uncharged $\mathbf{10}$-plets yield two Higgs doublets. Bulk anomaly cancellation requires the presence of additional $\mathbf{16}$- and $\mathbf{10}$-plets. The corresponding zero-modes form vectorlike split multiplets that are needed to obtain a successful flavour phenomenology. We analyze the pattern of flavour mixings for the two heaviest families of the Standard Model and discuss possible generalizations to three and more generations.