Super-Quantum Mechanics in the Integral Form Formalism

We reformulate super-quantum mechanics in the context of inte-gral forms. This framework allows to interpolate between different actionsfor the same theory, connected by different choices of picture changingoperators (PCO). In this way we retrieve component and superspace ac-tions and prove their equivalence. The PCO are closed integral formsand can be interpreted as super-Poincar ́e duals of bosonic submanifoldsembedded into a supermanifold. We use them to construct Lagrangiansthat are top integral forms, and therefore can be integrated on the wholesupermanifold. TheD=1,N=1andtheD=1,N= 2 cases are stud-ied, in a flat and in a curved supermanifold. In this formalism, we alsoconsider coupling with gauge fields, Hilbert space of quantum states, andobservables.