Dolan, Brian P. and Huet, Idrish and Murray, Sean and O'Connor, Denjoe
Noncommutative vector bundles over fuzzy CPN and
their covariant derivatives.
Journal of High Energy Physics, 07 (007).
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.
||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
||Discrete and Finite Symmetries; Solitons; Monopoles and Instantons; Matrix Models; Non-Commutative Geometry; Vector Bundles; Fuzzy;
||Faculty of Science and Engineering > Mathematical Physics
Dr. Brian Dolan
||16 Nov 2011 16:37
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||Journal of High Energy Physics
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