Algebraic realisation of three fermion generations with $$S_3$$ S 3 family and unbroken gauge symmetry from $$\mathbb {C}\ell (8)$$ C ℓ ( 8 )

Abstract Building on previous work, we extend an algebraic realisation of three fermion generations within the complex Clifford algebra $$\mathbb {C}\ell (8)$$ C ℓ ( 8 ) by incorporating a $$U(1)_{em}$$ U ( 1 ) em gauge symmetry. The algebra $$\mathbb {C}\ell (8)$$ C ℓ ( 8 ) corresponds to the algeb...

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Bibliographic Details
Main Authors: Liam Gourlay, Niels Gresnigt
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13476-0
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