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- Beyond the mathematical formalization of superfields, I wonder if supersymmetry generators have direct application in mathematics

Considering the definition of supersymmetry as a set of operators that extend the transformations of Poincare group, I wonder if they are of some value for mathematics, particularly for differential geometry. Most of the formalism I can find relate to "superspace", which does not seem a natural object in geometry. But perhaps I am missing the most mathematical literature.