General form of deformation of Poisson superbracket

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex

Scientific paper

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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