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2008-08-19 - Article/Dans un journal avec peer-review - Anglais - 33 page(s)

Boulanger Nicolas , Leclercq Serge, Sundell Per, "On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory" in Journal of High Energy Physics [=JHEP], JHEP 0808:056, 2008

  • 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 address the uniqueness of the minimal couplings between higher-spin fields and gravity. These couplings are cubic vertices built from gauge non-invariant connections that induce non-abelian deformations of the gauge algebra. We show that Fradkin-Vasiliev's cubic 2-s-s vertex, which contains up to 2s-2 derivatives dressed by a cosmological constant ?, has a limit where: (i) ? ? 0; (ii) the spin-2 Weyl tensor scales non-uniformly with s; and (iii) all lower-derivative couplings are scaled away. For s = 3 the limit yields the unique non-abelian spin 2-3-3 vertex found recently by two of the authors, thereby proving the uniqueness of the corresponding FV vertex. We extend the analysis to s = 4 and a class of spin 1-s-s vertices. The non-universality of the flat limit high-lightens not only the problematic aspects of higher-spin interactions with ? = 0 but also the strongly coupled nature of the derivative expansion of the fully nonlinear higher-spin field equations with ??0, wherein the standard minimal couplings mediated via the Lorentz connection are subleading at energy scales (|?|)1/2 E Mp. Finally, combining our results with those obtained by Metsaev, we give the complete list of all the manifestly covariant cubic couplings of the form 1-s-s and 2-s-s , in Minkowski background.

Identifiants :
  • DOI : 10.1088/1126-6708/2008/08/056
  • arXiv : 0805.2764

Mots-clés :
  • (Anglais) higher-spin gravity