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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 109–116, April, 2008.
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Konstein, S.E., Tyutin, I.V. Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension. Theor Math Phys 155, 598–605 (2008). https://doi.org/10.1007/s11232-008-0049-0
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DOI: https://doi.org/10.1007/s11232-008-0049-0