Generations of Quarks and Leptons from Noncompact Horizontal Symmetry | Zendy

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Generations of Quarks and Leptons from Noncompact Horizontal Symmetry

Author(s) -

Koichi Inoue

Publication year - 1995

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.93.403

Subject(s) - physics , particle physics , yukawa potential , quark , lepton , symmetry (geometry) , unitary representation , gauge symmetry , unitary state , gauge theory , nuclear physics , electron , geometry , mathematics , political science , law

The three chiral generations of quarks and leptons may be generated through aspontaneous breakdown of the noncompact horizontal gauge symmetry $G_{H}$ whichgoverns, together with the standard gauge symmetry ${SU(3) \times SU(2) \timesU(1)}$, the world in a vectorlike manner. In a framework of supersymmetrictheory, the simplest choice ${G_{H}=SU(1,1)}$ works quite well for thisscenario in which quarks, leptons and Higgses belong to infinite dimensionalunitary representation of $SU(1,1)$. The relevance of the scenario to thehierarchical structure of their Yukawa coupling matrices are discussed.Comment: 22 pages, e-mail: inoue@yukawa.kyoto-u.ac.jp , Plain Tex, YITP/K-108

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