The Standard Model Fermion Spectrum From Complex Projective Spaces | Zendy

Brian P. Dolan | Zendy; C. Nash | Zendy

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The Standard Model Fermion Spectrum From Complex Projective Spaces

Author(s) -

Brian P. Dolan,

C. Nash

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/10/041

Subject(s) - holonomy , spectrum (functional analysis) , physics , standard model (mathematical formulation) , complex projective space , collineation , dirac operator , string (physics) , gauge theory , pure mathematics , theoretical physics , space (punctuation) , projective space , projective test , mathematics , gauge (firearms) , mathematical physics , quantum mechanics , computer science , archaeology , history , operating system

It is shown that the quarks and leptons of the standard model, including aright-handed neutrino, can be obtained by gauging the holonomy groups ofcomplex projective spaces of complex dimensions two and three. The spectrumemerges as chiral zero modes of the Dirac operator coupled to gauge fields andthe demonstration involves an index theorem analysis on a general complexprojective space in the presence of topologically non-trivial SU(n)xU(1) gaugefields. The construction may have applications in type IIA string theory andnon-commutative geometry.Comment: 13 pages. Typset using LaTeX and JHEP3 style files. Minor typos correcte

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