arXiv · 1712.06444
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.
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Yuhei Goto, Yoshiharu Kawamura. 2017-12-15. Orbifold family unification using vectorlike representation on six dimensions. https://doi.org/10.1103/physrevd.98.035039
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