Non-commutative Complex Projective Spaces and the Standard Model

Dolan, Brian P. (2003) Non-commutative Complex Projective Spaces and the Standard Model. (Preprint)

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Abstract

The standard model fermion spectrum, including a right handed neutrino, can be obtained as a zero-mode 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
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:57
Last Modified: 16 Dec 2022 09:05
URI: https://dair.dias.ie/id/eprint/621

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