Hamiltonian formulation of supergravity

Abstract

The action of supergravity, including mass and cosmological terms, is cast into Hamiltonian form in terms of the graviton and fermion degrees of freedom, and the constraints corresponding to the coordinate and supersymmetry invariances are exhibited. Absence of contact terms in first-order form is an immediate consequence of the latter. Source interactions due to lowest-order exchange of a supergraviton are given in the massive and massless cases. The gravitational zero-mass discontinuity persists in the fermion sector. Invariances of the spin-3/2 field under chiral and dual transformations are analyzed.