Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives

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dc.creatorDolan, Brian P.
dc.creatorHuet, Idrish
dc.creatorMurray, Sean
dc.creatorO'Connor, Denjoe
dc.date2006-11-20
dc.date2008-09-09
dc.date.accessioned2026-07-07T11:59:27Z
dc.date.available2026-07-07T11:59:27Z
dc.descriptionWe 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.
dc.description34 pages, v2 contains minor corrections to the published version
dc.identifierhttps://arxiv.org/abs/hep-th/0611209
dc.identifierhttp://arxiv.org/abs/hep-th/0611209
dc.identifierJHEP0707:007,2007
dc.identifierdoi:10.1088/1126-6708/2007/07/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206567
dc.subjectHigh Energy Physics - Theory
dc.titleNoncommutative vector bundles over fuzzy CP^N and their covariant derivatives
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