2024/03/05 by Nobuhito Maru, Maru, Nobuhito, Ryujiro Nago +1
Social Sciences · Mathematics · #International Science and Diplomacy #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2403.02731
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 S1/Z2 to obtain three generations of quarks and leptons after symmetrybreaking 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 S1/Z2 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.