Hamiltonian superfield formalism with N supercharges Original Research Article

An action principle that applies uniformly to any number N of supercharges is proposed. We perform the reduction to the image partition function by integrating out superpartner fields. As a new feature for theories of extended supersymmetry, the canonical Pfaffian measure factor is a result of a Gaussian integration over a superpartner. This is mediated through an explicit choice of direction image in the θ-space, which the physical sector does not depend on. Also, we re-interpret the metric image in the Susy algebra image as a symplectic structure on the fermionic θ-space. This leads to a superfield formulation with a general covariant θ-space sector.