Non-commutative Complex Projective Spaces And The Standard Model

Dolan, Brian P. (2003) Non-commutative Complex Projective Spaces And The Standard Model. Modern Physics Letters A, 18 (33-35). pp. 2319-2327. ISSN 0217-7323

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The standard model fermion spectrum, including a right handed neutrino, can be obtained as a zeremode of the Dirac operator on a space which is the product of complex projective spaces of complex dimension two and three. The construction requires the introduction of topologically non-trivial background gauge fields. By borrowing from ideas in Connes' non-commutative geometry and making the complex spaces 'fuzzy' a matrix approximation to the fuzzy space allows for three generations to emerge. The generations are associated with three copies of space-time. Higgs' fields and Yukawa couplings can be accommodated in the usual way.

Item Type: Article
Additional Information: Electronic version of an article published in Physics Letters A, Volume 18, Issue, 2003, pp.2319-2327 [DOI: 10.1142/S0217732303012532] © copyright World Scientific Publishing Company []
Keywords: Non-commutative geometry; standard model; particle physics; right-handed neutrinos;
Academic Unit: Faculty of Science and Engineering > Mathematical Physics
Item ID: 2561
Identification Number: DOI: 10.1142/S0217732303012532
Depositing User: Dr. Brian Dolan
Date Deposited: 17 Jun 2011 11:22
Journal or Publication Title: Modern Physics Letters A
Publisher: World Scientific Journals
Refereed: No

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