Symplectic geometries on supermanifolds

Details Symplectic geometries on supermanifolds Symplectic geometries on supermanifolds

2007-08-28

arxiv.org/abs/0708.3778v3

Int.J.Mod.Phys.A23:1337-1350,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 1o pages, LaTex, changed content

Scientific paper

10.1142/S0217751X08039426

Extension 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.

Affiliated with

Also associated with

No associations

Rating

Symplectic geometries on supermanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symplectic geometries on supermanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic geometries on supermanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363148