Non Standard Extended Noncommutativity of Coordinates

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dc.creatorBoulahoual, A.
dc.creatorSedra, M. B.
dc.date2001-04-10
dc.date2003-07-28
dc.date.accessioned2026-07-07T04:11:33Z
dc.date.available2026-07-07T04:11:33Z
dc.descriptionWe present in this short note an idea about a possible extension of the standard noncommutative algebra to the formal differential operators framework. In this sense, we develop an analysis and derive an extended noncommutative structure given by $[x_{a}, x_{b}]_{\star} = i(θ+ χ)_{ab}$ where $θ_{ab}$ is the standard noncommutative parameter and $χ_{ab}(x)\equiv χ^μ_{ab}(x)\partial_μ ={1/2}(x_a θ^μ_{b} - x_b θ^μ_{a})\partial_μ$ is an antisymmetric non-constant vector-field shown to play the role of the extended deformation parameter. This idea was motivated by the importance of noncommutative geometry framework, with nonconstant deformation parameter, in the current subject of string theory and D-brane physics.
dc.description9 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/0104086
dc.identifierhttp://arxiv.org/abs/hep-th/0104086
dc.identifierChin.J.Phys. 42 (2004) 591-597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50629
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNon Standard Extended Noncommutativity of Coordinates
dc.typetext

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