Flavored Orbifold GUT - an SO(10) x S4 model

TL;DR

This paper constructs a supersymmetric SO(10) x S4 orbifold GUT model that naturally generates flavor symmetries and predicts lepton and quark mixing angles, offering a novel approach to flavor physics within GUT frameworks.

Contribution

It introduces a new orbifold GUT model where flavor symmetry emerges from orbifold compactification and boundary conditions, leading to realistic fermion mixing predictions.

Findings

Predicts tribimaximal mixing in the lepton sector

Generates the Cabibbo angle in the quark sector

Demonstrates flavor symmetry emergence from orbifold boundary conditions

Abstract

Orbifold grand unified theories (GUTs) solve several problems in GUT model building. Therefore, it is intriguing to investigate similar constructions in the flavor context. In this paper, we propose that a flavor symmetry might emerge due to orbifold compactification of one orbifold and broken by boundary conditions of another orbifold. The combination of the orbifold parities in gauge and flavor space determines the zero modes. We demonstrate the construction in a supersymmetric (SUSY) SO(10) x S_4 orbifold GUT model, which predicts the tribimaximal mixing at leading order in the lepton sector as well as the Cabibbo angle in the quark sector.