Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension |
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Authors: | S. E. Konstein I. V. Tyutin |
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Affiliation: | (1) Lebedev Physical Institute, RAS, Moscow, Russia |
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Abstract: | We consider (anti-)Poisson superalgebras with a constant nondegenerate (anti)bracket realized on smooth Grassmann-valued functions with compact supports in ℝn and find the deformations of these superalgebras and their central extensions. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 109–116, April, 2008. |
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Keywords: | Poisson superalgebra anti-Poisson superalgebra superbracket deformation superalgebra cohomology quantization |
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