SUSY structures on deformed supermanifolds
arXiv:0707.3506 · doi:10.1016/j.difgeo.2007.11.036
Abstract
We construct a geometric structure on deformed supermanifolds as a certain subalgebra of the vector fields. In the classical limit we obtain a decoupling of the infinitesimal odd and even transformations, whereas in the semiclassical limit the result is a representation of the supersymmetry algebra. In the case of mass preserving structure we describe all high energy corrections to this algebra.
20 pages. v2 coincides with the version published in Differential Geometry and its Applications