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 |
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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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