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- Title
General form of the deformation of the Poisson superbracket.
- Authors
Konstein, S.; Smirnov, A.; Tyutin, I.
- Abstract
All continuous formal deformations of the Poisson algebra realized on Grassmann-valued compactly supported smooth functions on ℝ2n with 2n ≥ 4 are found up to an equivalence transformation. We show that in the algebras considered, there exist additional deformations that di.er from the Moyal bracket.
- Subjects
POISSON algebras; GRASSMANN manifolds; SMOOTHNESS of functions; MATHEMATICAL transformations; MATHEMATICAL analysis; EQUATIONS
- Publication
Theoretical & Mathematical Physics, 2006, Vol 148, Issue 2, p1011
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-006-0097-2