## DI-UMONS : Dépôt institutionnel de l’université de Mons

 Recherche transversale Rechercher (titres de publication, de périodique et noms de colloque inclus)
2002-03-25 - Article/Dans un journal avec peer-review - Anglais - 17 page(s)

Boulanger Nicolas , Mboyo Esole, "A note on the uniqueness of D=4 N=1 Supergravity" in Classical & Quantum Gravity, 19, (2002)

• Edition : Institute of Physics
• Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211), Gravitation (DI1216)
• Unités de recherche UMONS : Mécanique et gravitation (S884)
• Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We investigate in 4 spacetime dimensions, all the consistent deformations of the lagrangian ${\cal L}_2+{\cal L}_{{3/2}}$, which is the sum of the Pauli-Fierz lagrangian ${\cal L}_2$ for a free massless spin 2 field and the Rarita-Schwinger lagrangian ${\cal L}_{{3/2}}$ for a free massless spin 3/2 field. Using BRST cohomogical techniques, we show, under the assumptions of locality, Poincar\'e 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 conservations laws are also given.

Identifiants :
• arXiv : gr-qc/0110072
• DOI : 10.1088/0264-9381/19/8/304