SUSY structures on deformed supermanifolds

Details SUSY structures on deformed supermanifolds SUSY structures on deformed supermanifolds

2007-07-24

arxiv.org/abs/0707.3506v2

Differ. Geom. Appl. 26 (2008), 566-582

Mathematics

Differential Geometry

20 pages. v2 coincides with the version published in Differential Geometry and its Applications

Scientific paper

10.1016/j.difgeo.2007.11.036

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.

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