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arxiv: hep-th/0401023 · v1 · submitted 2004-01-06 · ✦ hep-th

General form of deformation of Poisson superbracket

classification ✦ hep-th
keywords deformationspoissonsuperbracketadditionalalgebrabracketcompactlycontinuous
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Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth functions on R^n taking values in a Grassmann algebra are described up to an equivalence transformation. It is shown that there are additional deformations which are different from the standard Moyal bracket.

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