Dolan, Brian P. and Huet, Idrish and Murray, Seán and O'Connor, Denjoe (2006) Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives. Journal of High Energy Physics, 2007 (07). 007-007. ISSN 1029-8479
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Abstract
We generalise the construction of fuzzy CP^N 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 S^2 that generalizes to complex projective space, identify Laplacians and natural noncommutative covariant derivative operators that map between the modules that describe noncommuative 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 |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 05 Oct 2017 19:31 |
Last Modified: | 14 Dec 2022 21:16 |
URI: | https://dair.dias.ie/id/eprint/182 |
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