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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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Abstract

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
Subjects: Science & 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
URI:

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