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Deformations of the nondegenerate constant Poisson bracket and
antibracket on superspaces of an arbitrary superdimension
S. E. Konstein, I. V. Tyutin P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
We consider {(}anti-{\rm)}Poisson superalgebras with a constant
nondegenerate {\rm(}anti{\rm)}bracket realized on smooth Grassmann-valued
functions with compact supports in $\mathbb{R}^n$ and find the deformations of
these superalgebras and their central extensions.
Keywords:
Poisson superalgebra, anti-Poisson superalgebra, superbracket deformation, superalgebra cohomology, quantization.
Citation:
S. E. Konstein, I. V. Tyutin, “Deformations of the nondegenerate constant Poisson bracket and
antibracket on superspaces of an arbitrary superdimension”, TMF, 155:1 (2008), 109–116; Theoret. and Math. Phys., 155:1 (2008), 598–605
Linking options:
https://www.mathnet.ru/eng/tmf6196https://doi.org/10.4213/tmf6196 https://www.mathnet.ru/eng/tmf/v155/i1/p109
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Abstract page: | 442 | Full-text PDF : | 180 | References: | 70 | First page: | 9 |
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