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2002-02-13 - Article/Dans un journal avec peer-review - Anglais - 19 page(s)

Boulanger Nicolas , Henneaux M., van Nieuwenhuizen Peter, "Conformal (super)gravities with several gravitons" in Journal of High Energy Physics [=JHEP], JHEP 0201 (2002) 035

  • Edition : Institute of Physics Publishing (IOP), Bristol (United Kingdom)
  • Codes CREF : Physique théorique et mathématique (DI1210), Gravitation (DI1216), Théorie quantique des champs (DI1215)
  • Unités de recherche UMONS : Mécanique et gravitation (S884)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal B}^{\mu \nu}$ is the linearized Bach tensor, (ii) the interactions contain no more than four derivatives, just as the free action and (iii) the internal metric for the Weyl gravitons is not positive definite. The interacting theories are obtained by gauging appropriate non-semi-simple extensions of the conformal algebra $so(4,2)$ with commutative, associative algebras of dimension M. By writing the action in terms of squares of supercurvatures, supersymmetrization is immediate and leads to consistent conformal supergravities with M interacting gravitons.

Identifiants :
  • arXiv : hep-th/0201023
  • DOI : 10.1088/1126-6708/2002/01/035