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

2006/12/01 by S. E. Konstein, Konstein, S. E., I. V. Tyutin +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0612006

LaTex, 13 pages

arxiv created 2006/12/01 · arxiv updated 2009/12/01

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).

Related

• General form of deformation of Poisson superbracket
• The deformations of nondegenerate constant Poisson bracket with even and odd deformation parameters
• Deformations of the central extension of the Poisson superalgebra
• Deformations of the antibracket
• The deformations of antibracket with even and odd deformation parameters, defined on the space DE₁