Work

Three generations and a trio of trialities

Year: 2025

Type: article

Abstract: We identify the Standard Model's internal symmetries within the triality symmetries . From here, the corresponding Standard Model group action is applied to the triality triple for . Together, and provide the correct irreducible representations for two generations. Owing to a certain Cartan factorization, which we define, V provides the irreducible representations for a third generation. Said more explicitly in another way, division algebraic multiplication merges a third generation of spinor representations into a set of scalar bosons. This set of scalar bosons includes the familiar Standard Model Higgs representation.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2025.139473

Authors: N. Furey, M.J. Hughes

Institutions: Humboldt-Universität zu Berlin, University of Leeds

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Leeds, Humboldt-Universität zu Berlin

OpenAlex ID: W4409450638

FWCI: 2.24

Cites: 45

Cited by: 10

Related to: 10