Symplectic geometries on supermanifolds

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dc.creatorLavrov, P. M.
dc.creatorRadchenko, O. V.
dc.date2007-08-28
dc.date2008-03-22
dc.date.accessioned2026-07-07T11:18:55Z
dc.date.available2026-07-07T11:18:55Z
dc.descriptionExtension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry on supermanifolds endowed with a non-degenerate Poisson bracket) or to the geometry on an even Fedosov supermanifolds. It is proven that in the odd case there are two different scalar symplectic structures (namely, an odd closed differential 2-form and the antibracket) which can be used for construction of symplectic geometries on supermanifolds.
dc.descriptionLaTex, 1o pages, LaTex, changed content
dc.identifierhttps://arxiv.org/abs/0708.3778
dc.identifierhttp://arxiv.org/abs/0708.3778
dc.identifierInt.J.Mod.Phys.A23:1337-1350,2008
dc.identifierdoi:10.1142/S0217751X08039426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193510
dc.subjectHigh Energy Physics - Theory
dc.titleSymplectic geometries on supermanifolds
dc.typetext

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