General form of the deformation of the Poisson superbracket |
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| Authors: | S E Konstein A G Smirnov I V Tyutin |
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| Institution: | (1) Lebedev Physical Institute, RAS, Moscow, Russia |
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| 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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 2, pp. 163–178, August, 2006. |
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| Keywords: | Grassmann algebra Poisson superalgebra central extension cohomologies *-commutator deformation quantization |
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