Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and Leptons

Details Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and Leptons Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and Leptons

2002-01-11

arxiv.org/abs/hep-ph/0201086v3

Phys.Lett.B532:252-258,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Contribution to "Peccei Fest" January 11-13,2002, a number of comments and an appendix are added

Scientific paper

In a (0,1) supersymmetric (SUSY) six-dimensional gauge theory, a gauge fermion gives rise to box anomalies. These anomalies are completely canceled by assuming a vector multiplet of (1,1) SUSY. With a T^2/Z_3 orbifold compactification of the extra two dimensional space, the theory provides three chiral multiplets and three equivalent fixed points. We regard them as the origin of the three families of quarks and leptons. Quasi anarchy structure in the SU(5)-5^* representation sector and hence the bimaximal mixing in the neutrino oscillation are explained quite naturally in this framework. We also discuss a family symmetry as a remnant of the higher-dimensional R symmetry.

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