Noncommutative line bundle and Morita equivalence

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dc.creatorJurco, Branislav
dc.creatorSchupp, Peter
dc.creatorWess, Julius
dc.date2001-06-13
dc.date2001-06-18
dc.date.accessioned2026-07-07T04:11:49Z
dc.date.available2026-07-07T04:11:49Z
dc.descriptionGlobal properties of abelian noncommutative gauge theories based on $\star$-products which are deformation quantizations of arbitrary Poisson structures are studied. The consistency condition for finite noncommutative gauge transformations and its explicit solution in the abelian case are given. It is shown that the local existence of invertible covariantizing maps (which are closely related to the Seiberg-Witten map) leads naturally to the notion of a noncommutative line bundle with noncommutative transition functions. We introduce the space of sections of such a line bundle and explicitly show that it is a projective module. The local covariantizing maps define a new star product $\star'$ which is shown to be Morita equivalent to $\star$.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0106110
dc.identifierhttp://arxiv.org/abs/hep-th/0106110
dc.identifierLett.Math.Phys. 61 (2002) 171-186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50737
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleNoncommutative line bundle and Morita equivalence
dc.typetext

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