A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.
An anomaly-free atlas: charting the space of flavour-dependent gaugedU(1) extensions of the standard model.Journal of High Energy Physics, 2019(2):1–29, 2019
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Electroweak Structure and Three Fermion Generations in Clifford Algebra with S3 Family Symmetry
A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.