Orbifold family unification using vectorlike representation on six dimensions

Abstract

In orbifold family unification on the basis of $SU(N)$ gauge theory on the six-dimensional space-time $M^4\times T^2/Z_m$ ($m=2,3,4,6$), enormous numbers of models with three families of the standard model matter multiplets are derived from a massless Dirac fermion with a vectorlike representation $[N,3]+[N,N-3]$ of $SU(N)$ ($N=8,9$). They contain models with three or more than three neutrino singlets and without any non-Abelian continuous flavor gauge symmetries. The relationship between flavor numbers from a fermion with $[N,N-k]$ and those from a fermion with $[N,k]$ are studied from the viewpoint of charge conjugation.

Comments: 27 pages. 3 figures, some explanations added