Generations of Quarks and Leptons from Noncompact Horizontal Symmetry

Details Generations of Quarks and Leptons from Noncompact Horizontal Symmetry Generations of Quarks and Leptons from Noncompact Horizontal Symmetry

1994-10-05

arxiv.org/abs/hep-ph/9410220v2

Prog.Theor.Phys. 93 (1995) 403-416

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, e-mail: inoue@yukawa.kyoto-u.ac.jp , Plain Tex, YITP/K-1089

Scientific paper

10.1143/PTP.93.403

The three chiral generations of quarks and leptons may be generated through a spontaneous breakdown of the noncompact horizontal gauge symmetry $G_{H}$ which governs, together with the standard gauge symmetry ${SU(3) \times SU(2) \times U(1)}$, the world in a vectorlike manner. In a framework of supersymmetric theory, the simplest choice ${G_{H}=SU(1,1)}$ works quite well for this scenario in which quarks, leptons and Higgses belong to infinite dimensional unitary representation of $SU(1,1)$. The relevance of the scenario to the hierarchical structure of their Yukawa coupling matrices are discussed.

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