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Supergravity and the Poincare group

P. Salgado·M. Cataldo·S. del Campo
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Abstract

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

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P. Salgado, M. Cataldo, S. del Campo. 2001-10-23. Supergravity and the Poincare group. https://doi.org/10.1103/physrevd.65.084032

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