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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 |
| 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/256 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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