A 6D SO(20) gauge theory with one spinorial fermion unifies three SM generations and the Higgs after compactification to 5D.
Orbifold Family Unification
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abstract
We study the possibility of complete family unification in higher-dimensional space-time. Three families of matters in SU(5) grand unified theory are derived from a single bulk multiplet of SU(N) gauge group (N >= 9) in the framework of S^1/Z_2 orbifold models. In the case of the direct orbifold breaking down to the standard model gauge group, there are models in which bulk fields from a single multiplet and a few brane fields compose three families of quarks and leptons.
fields
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.
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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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.