A 6D SO(20) gauge theory with one spinorial fermion unifies three SM generations and the Higgs after compactification to 5D.
Family Unification in Special Grand Unification
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An SU(5) GUT model uses an intermediate breaking to SO(3)_C × SO(2)_L realized by adjoint, symmetric tensor, and singlet scalars plus singlet fermions so that monopoles annihilate via cosmic strings, with possible first-order restoration producing detectable GWs.
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.
citing papers explorer
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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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A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup
An SU(5) GUT model uses an intermediate breaking to SO(3)_C × SO(2)_L realized by adjoint, symmetric tensor, and singlet scalars plus singlet fermions so that monopoles annihilate via cosmic strings, with possible first-order restoration producing detectable GWs.
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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.