Abstract

An action for (3 + 1)-dimensional supergravity genuinely invariant under the Poincaré supergroup is proposed. The construction of the action is carried out considering a bosonic Lagrangian invariant under both local Lorentz rotations and local Poincaré translations as well as under diffeomorphism, and therefore the Poincaré algebra closes off shell. Since the Lagrangian is invariant under the Poincaré supergroup, the supersymmetry algebra closes off shell without the need for auxiliary fields.