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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 2, Pages 163–178
DOI: https://doi.org/10.4213/tmf2078 (Mi tmf2078) 		 
This article is cited in 5 scientific papers (total in 5 papers)

General form of the deformation of the Poisson superbracket

S. E. Konstein, A. G. Smirnov, I. V. Tyutin

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (493 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf2078
Abstract: All continuous formal deformations of the Poisson algebra realized on Grassmann-valued compactly supported smooth functions on $\mathbb R^{2n}$ with $2n\ge4$ are found up to an equivalence transformation. We show that in the algebras considered, there exist additional deformations that differ from the Moyal bracket.
Keywords: Grassmann algebra, Poisson superalgebra, central extension, cohomologies, $*$-commutator, deformation, quantization.
Received: 12.12.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 2, Pages 1011–1024
DOI: https://doi.org/10.1007/s11232-006-0097-2
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, A. G. Smirnov, I. V. Tyutin, “General form of the deformation of the Poisson superbracket”, TMF, 148:2 (2006), 163–178; Theoret. and Math. Phys., 148:2 (2006), 1011–1024
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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