A 6D SO(20) gauge theory with one spinorial fermion unifies three SM generations and the Higgs after compactification to 5D.
Orbifold Family Unification in SO(2N) Gauge Theory
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abstract
We study the possibility of family unification on the basis of SO(2N) gauge theory on the five-dimensional space-time, $M^4\times S^1/Z_2$. Several SO(10), $SU(4) \times SU(2)_L \times SU(2)_R$ or SU(5) multiplets come from a single bulk multiplet of SO(2N) after the orbifold breaking. Other multiplets including brane fields are necessary to compose three families of quarks and leptons.
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hep-ph 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
A 6D SO(16) GUT model unifies SM gauge groups with SU(3) family symmetry by placing three chiral generations into one spinor representation, canceling anomalies via vectorlike 6D fermions and fixed-point localized states while noting asymptotic freedom of the SO(16) coupling.
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Family Unification in a Six Dimensional Theory with an Orthogonal Gauge Group
A 6D SO(20) gauge theory with one spinorial fermion unifies three SM generations and the Higgs after compactification to 5D.
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Family Unification in $SO(16)$ Grand Unification
A 6D SO(16) GUT model unifies SM gauge groups with SU(3) family symmetry by placing three chiral generations into one spinor representation, canceling anomalies via vectorlike 6D fermions and fixed-point localized states while noting asymptotic freedom of the SO(16) coupling.