Three fermion generations with two unbroken gauge symmetries from the complex sedenions

Abstract We show that three generations of leptons and quarks with unbroken Standard Model gauge symmetry $$SU(3)_c\times U(1)_{em}$$ SU(3)c×U(1)em can be described using the algebra of complexified sedenions $${\mathbb {C}}\otimes {\mathbb {S}}$$ C⊗S . A primitive idempotent is constructed by selec...

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Bibliographic Details
Main Authors: Adam B. Gillard, Niels G. Gresnigt
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6967-1

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