Mixing between gravitational and weak interactions through the massive gravitino

The interactions of the Goldstone neutrino, in a globally supersymmetric theory, are shown to depend only on the mass spectrum. If supersymmetry is realized locally, the Goldstone neutrino is eliminated by the super-Higgs mechanism; the gravitino (spin $\text{3}\text{2}$ partner of the gravition) becomes massive, leading to a mixing between gravitational and weak interactions. Weak interactions of the gravitino, for example weak decays of heavy new particles, can be recovered as a special case of gravitational ones.