On the Embedding of the Standard Model Gauge Group into SU(4)

We present a simple observation regarding the embedding of the Standard Model gauge group into SU(4). While the Standard Model group SU(3)C×SU(2)L×U(1)Y has a total of 12 generators, the group SU(4) has 15. Thus, embedding the Standard Model gauge group into SU(4) automatically produces three additional generators. We raise the question of whether these extra generators may correspond to new physical symmetries or interactions beyond the Standard Model.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-16
DOI
https://doi.org/10.5281/zenodo.17131632
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Embedding of the Standard Model Gauge Group into SU(4)

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

On the Embedding of the Standard Model Gauge Group into SU(4)

article en

Abstract

We present a simple observation regarding the embedding of the Standard Model gauge group into SU(4). While the Standard Model group SU(3)C×SU(2)L×U(1)Y has a total of 12 generators, the group SU(4) has 15. Thus, embedding the Standard Model gauge group into SU(4) automatically produces three additional generators. We raise the question of whether these extra generators may correspond to new physical symmetries or interactions beyond the Standard Model.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 37%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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On the Embedding of the Standard Model Gauge Group into SU(4) · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS