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arxiv: 0707.3506 · v2 · pith:OZCLRFVMnew · submitted 2007-07-24 · 🧮 math.DG

SUSY structures on deformed supermanifolds

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keywords algebradeformedlimitstructuresupermanifoldscasecertainclassical
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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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