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Dolan, Brian P., Huet, Idrish, Murray, Sean and O'Connor, Denjoe (2007) Noncommutative vector bundles over fuzzy CPN and their covariant derivatives. Journal of High Energy Physics, 07 (007). pp. 1-35. ISSN 1126-6708
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Abstract
We generalise the construction of fuzzy CPN in a manner that allows us to access
all noncommutative equivariant complex vector bundles over this space. We
give a simplified construction of polarization tensors on S2 that generalizes to complex
projective space, identify Laplacians and natural noncommutative covariant
derivative operators that map between the modules that describe noncommutative
sections. In the process we find a natural generalization of the Schwinger-Jordan
construction to su(n) and identify composite oscillators that obey a Heisenberg
algebra on an appropriate Fock space.
| Item Type: | Article |
|---|---|
| Additional Information: | Preprint version of original published article. Published by Institute of Physics (doi:10.1088/1126-6708/2007/07/007). We have benefited from many discussions with our colleagues and would especially like to thank A.P. Balachandran, Charles Nash, Peter Presnajder and Christian Samann for their stimulating comments. The work has been supported by Enterprise Ireland grant SC/2003/0415. |
| Keywords: | Discrete and Finite Symmetries; Solitons; Monopoles and Instantons; Matrix Models; Non-Commutative Geometry; Vector Bundles; Fuzzy; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 2838 |
| Identification Number: | 10.1088/1126-6708/2007/07/007 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 16 Nov 2011 16:37 |
| Journal or Publication Title: | Journal of High Energy Physics |
| Publisher: | Institute of Physics |
| Refereed: | No |
| Funders: | Enterprise Ireland |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2838 |
| 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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