Abstract
In this work we show how the Poincare-Cartan form can be used to describe the symmetries of Lagrangian supersymmetric (possibly p-adic) field theories. We show that the existence of the Poincare-Cartan form in supermanifold theory is ensured only in a relevant class of Lagrangian densities. Moreover, we give an abstract characterization of supersymmetric invariance based on the Poincare-Cartan form.
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