Higgs components realized as right-action operators in Cℓ(10) model with S3 symmetry yield two first-generation Higgs doublets and a Type-II-like Yukawa structure fixed algebraically in the cyclically averaged limit.
SO(8) Colour as possible origin of generations
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A possible connection between the existence of three quark-lepton generations and the triality property of SO(8) group (the equality between 8-dimensional vectors and spinors) is investigated.
representative citing papers
Standard Model particle representations (minus top-quark irreps) are shown to fit into a Z2^5-graded Jordan superalgebra H_16(C) generated by division algebras.
citing papers explorer
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Higgs and Yukawa Structure in a Clifford Algebra Model with Three Generations and $S_3$ Family Symmetry
Higgs components realized as right-action operators in Cℓ(10) model with S3 symmetry yield two first-generation Higgs doublets and a Type-II-like Yukawa structure fixed algebraically in the cyclically averaged limit.
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A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra
Standard Model particle representations (minus top-quark irreps) are shown to fit into a Z2^5-graded Jordan superalgebra H_16(C) generated by division algebras.