An interpretation of scalars in SO(32)

TL;DR

This paper offers a novel interpretation of scalars in the SO(32) group within a supersymmetric standard model, linking them to flavor symmetries and composite structures, with implications for particle classification and additional quark states.

Contribution

It introduces a new interpretation of SO(32) scalars based on flavor symmetries and composite postulates, connecting group theory with particle content in supersymmetric models.

Findings

Classifies scalars using SO(32) and SU(5) flavor group

Proposes a composite interpretation for scalars

Predicts an extra chiral +4/3 quark per generation

Abstract

We propose an interpretation for the adjoint representation of the $SO(32)$ group to classify the scalars of a generic Supersymmetric Standard Model having just three generations of particles, via a flavour group $SU(5)$. We show that this same interpretation arises from a simple postulate of self-consistence of composites for these scalars. The model looks only for colour and electric charge, and it pays the cost of an additional chiral $+4/3$ quark per generation.