par Boulanger, Nicolas ;Esole, Mboyo
Référence Classical and quantum gravity, 19, 8, page (2107-2124)
Publication Publié, 2002-04
Article révisé par les pairs
Résumé : We investigate in four spacetime dimensions, all the consistent deformations of the Lagrangian ℒ2 + ℒ3/2, which is the sum of the Pauli-Fierz Lagrangian ℒ2 for a free massless spin-2 field and the Rarita-Schwinger Lagrangian ℒ3/2 for a free massless spin-3/2 field. Using BRST-cohomogical techniques, we show, under the assumptions of locality, Poincaré invariance, conservation of the number of gauge symmetries and the number of derivatives on each fields, that N= 1,D = 4 supergravity is the only consistent interaction between a massless spin-2 and a massless spin-3/2 field. We do not assume general covariance. This follows automatically, as does supersymmetry invariance. Various cohomologies related to conservation laws are also given.

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