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Phys. Rev. D 65, 084032 (2002) [7 pages]

Supergravity and the Poincaré group

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P. Salgado*
Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile

M. Cataldo
Departamento de Física, Universidad del Bío-Bío, Casilla 5-C, Concepción, Chile

S. del Campo
Instituto de Física, Universidad Católica de Valparaíso, Avda Brasil 2950, Valparaíso, Chile

Received 25 May 2001; published 8 April 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.084032
DOI:
10.1103/PhysRevD.65.084032
PACS:
04.65.+e

*Electronic address: pasalgad@udec.cl

Electronic address: mcataldo@ubiobio.cl

Electronic address: sdelcamp@ucv.cl