Elementary Particles and Spin Representations

TL;DR

This paper explores how group-theoretical frameworks, extending SO(10) unification, can describe all fermions as a single chiral spinor in higher-dimensional space-time groups like SO(13,1), suggesting a unified fundamental structure.

Contribution

It introduces a novel unification scheme where all fermions are represented as a single spinor in higher-dimensional space-time groups, extending previous SO(10) models.

Findings

Unification of all fermions as a single space-time spinor.

Extension of SO(10) unification to higher-dimensional groups.

Proposes specific groups like SO(13,1), SO(9,5), SO(7,7), SO(3,11).

Abstract

We emphasize that the group-theoretical considerations leading to SO(10) unification of electro-weak and strong matter field components naturally extend to space-time components, providing a truly unified description of all generation degrees of freedoms in terms of a single chiral spin representation of one of the groups SO(13,1), SO(9,5), SO(7,7) or SO(3,11). The realization of these groups as higher dimensional space-time symmetries produces unification of all fundamental fermions is a single space-time spinor.