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arxiv: gr-qc/0110097 · v1 · submitted 2001-10-23 · 🌀 gr-qc

Supergravity and the Poincare group

classification 🌀 gr-qc
keywords poincareunderinvariantactionalgebracloseslagrangianlocal
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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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