We discuss a possibility whether a model of grand gauge -Higgs unification incorporating family unification in higher dimensions can be constructed. We first extend a five -dimensional SU ( 6 ) grand gauge -Higgs unification model to a five -dimensional SU ( 7 ) grand gauge -Higgs unification model compactified on an orbifold S 1 /Z 2 to obtain three generations of quarks and leptons after symmetry breaking of the larger family unified gauge group. A prescription of constructing a six -dimensional SU ( N ) grand gauge -Higgs unification model including a five -dimensional SU ( 7 ) grand gauge -Higgs unification after compactifying the sixth dimension on an orbifold S 1 /Z 2 is given. We find a six -dimensional SU ( 14 ) grand gauge -Higgs unification model with a set of representations containing three generations of quarks and leptons.
机构:
Seoul Natl Univ Sci & Technol, Sch Liberal Arts, Seoul 139743, South Korea
Seoul Natl Univ Sci & Technol, Inst Convergence Fundamental Studies, Seoul 139743, South KoreaNatl Tsing Hua Univ, Dept Phys, Hsinchu 300, Taiwan