Non-topological non-commutativity in string theory

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dc.creatorGuttenberg, Sebastian
dc.creatorHerbst, Manfred
dc.creatorKreuzer, Maximilian
dc.creatorRashkov, Radoslav
dc.date2007-12-27
dc.date2008-01-18
dc.date.accessioned2026-07-07T11:54:51Z
dc.date.available2026-07-07T11:54:51Z
dc.descriptionQuantization of coordinates leads to the non-commutative product of deformation quantization, but is also at the roots of string theory, for which space-time coordinates become the dynamical fields of a two-dimensional conformal quantum field theory. Appositely, open string diagrams provided the inspiration for Kontsevich's solution of the long-standing problem of quantization of Poisson geometry by virtue of his formality theorem. In the context of D-brane physics non-commutativity is not limited, however, to the topolocial sector. We show that non-commutative effective actions still make sense when associativity is lost and establish a generalized Connes-Flato-Sternheimer condition through second order in a derivative expansion. The measure in general curved backgrounds is naturally provided by the Born--Infeld action and reduces to the symplectic measure in the topological limit, but remains non-singular even for degenerate Poisson structures. Analogous superspace deformations by RR--fields are also discussed.
dc.description10 pages. Contribution to the proceedings of the BW2007 Workshop "Challenges Beyond the Standard Model", September 2-9, 2007, Kladovo, Serbia (references added)
dc.identifierhttps://arxiv.org/abs/0712.4167
dc.identifierhttp://arxiv.org/abs/0712.4167
dc.identifierFortsch.Phys.56:440-451,2008
dc.identifierdoi:10.1002/prop.200710517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205058
dc.subjectHigh Energy Physics - Theory
dc.titleNon-topological non-commutativity in string theory
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