Strong coupling, discrete symmetry and flavour

TL;DR

This paper explores how strong coupling and discrete symmetries can jointly generate the Standard Model's flavor structure, using supersymmetry confinement and AdS/CFT to model strongly coupled sectors.

Contribution

It introduces a novel framework combining strong coupling and discrete symmetries to produce realistic flavor hierarchies within grand unified theories.

Findings

Equivalent results from supersymmetry confinement and AdS/CFT approaches

Graphical, geometric representation of flavor symmetry breaking

Generation of realistic mass and mixing hierarchies

Abstract

We show how two principles - strong coupling and discrete symmetry - can work together to generate the flavour structure of the Standard Model. We propose that in the UV the full theory has a discrete flavour symmetry, typically only associated with tribimaximal mixing in the neutrino sector. Hierarchies in the particle masses and mixing matrices then emerge from multiple strongly coupled sectors that break this symmetry. This allows for a realistic flavour structure, even in models built around an underlying grand unified theory. We use two different techniques to understand the strongly coupled physics: confinement in N=1 supersymmetry and the AdS/CFT correspondence. Both approaches yield equivalent results and can be represented in a clear, graphical way where the flavour symmetry is realised geometrically.