Peer-Reviewed Journal Details
Mandatory Fields
Dolan B.;Huet I.;Murray S.;O'Connor D.
2007
July
Journal of High Energy Physics
Noncommutative vector bundles over fuzzy CPN and their covariant derivatives
Published
()
Optional Fields
Discrete and finite symmetries Fuzzy Matrix models Monopoles and instantons Non-commutative geometry Solitons Vector bundles
2007
7
We generalise the construction of fuzzy 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. © SISSA 2007.
1126-6708
10.1088/1126-6708/2007/07/007
Grant Details