A 6D SO(20) gauge theory with one spinorial fermion unifies three SM generations and the Higgs after compactification to 5D.
Family Unification on an Orbifold
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abstract
We construct a family-unified model on a Z_2xZ_2 orbifold in five dimensions. The model is based on a supersymmetric SU(7) gauge theory. The gauge group is broken by orbifold boundary conditions to a product of grand unified SU(5) and SU(2)xU(1) flavor symmetry. The structure of Yukawa matrices is generated by an interplay between spontaneous breaking of flavor symmetry and geometric factors arising due to field localization in the extra dimension.
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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.