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General form of deformation of Poisson superbracket

2004/01/06 by S. E. Konstein, Konstein, S. E., A. G. Smirnov +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0401023

10 pages, Latex

arxiv created 2004/01/06 · arxiv updated 2009/12/01

Abstract

Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth functions on Rn 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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