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    The Standard Model Fermion Spectrum from Complex Projective spaces

    Dolan, Brian P. and Nash, Charles (2002) The Standard Model Fermion Spectrum from Complex Projective spaces. Journal of High Energy Physics, 0210. 008.

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    It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of complex dimensions two and three. The spectrum emerges as chiral zero modes of the Dirac operator coupled to gauge fields and the demonstration involves an index theorem analysis on a general complex projective space in the presence of topologically non-trivial SU(n)xU(1) gauge fields. The construction may have applications in type IIA string theory and non-commutative geometry.

    Item Type: Article
    Keywords: Field theories in higher dimensions, (M)atrix theories, differential and algebraic geometry, non-commutative geometry
    Academic Unit: Faculty of Science and Engineering > Experimental Physics
    Item ID: 256
    Depositing User: Dr. Brian Dolan
    Date Deposited: 20 Oct 2005
    Journal or Publication Title: Journal of High Energy Physics
    Publisher: Institute of Physics
    Refereed: Yes

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