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Non-Standard Extended Noncommutativity of Coordinates
並列摘要
We present in this short note an idea about a possible extension of the standard non-commutative algebra of coordinates to the formal differential operators framework. In this sense, we develop an analysis and derive an extended noncommutative structure given by [xa, xb]☆ = i(θ + X)ab, where θab is the standard noncommutativity parameter and Xab(x) X^μab(x) ∂μ = 1/2 (xaθ^μb – xbθ^μa) ∂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 the noncommutative geometry framework, with a non-constant deformation parameter, in the current subject of string theory and D-brane physics.
並列關鍵字
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