General form of the deformation of Poisson superbracket on (2,2)-dimensional superspace

S. E. Konstein; I. V. Tyutin

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arXiv · hep-th/0612006

General form of the deformation of Poisson superbracket on (2,2)-dimensional superspace

S. E. Konstein·I. V. Tyutin

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Abstract

Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth functions on n-dimensional space taking values in a Grassmann algebra with m generating elements are described up to an equivalence transformation for the case n=m=2. It is shown that in this case the Poisson superalgebra has an additional deformation comparing with other superdimensions (n,m).

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BibTeX RIS

S. E. Konstein, I. V. Tyutin. 2006-12-01. General form of the deformation of Poisson superbracket on (2,2)-dimensional superspace. https://arxiv.org/abs/hep-th/0612006

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