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2013-05-30 - Article/Dans un journal avec peer-review - Anglais - 30 page(s)

Boulanger Nicolas , Ponomarev Dmitry , Skvortsov Evgeny, "Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space" in Journal of High Energy Physics [=JHEP], JHEP 1305 (2013) 008

  • 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)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We use the Fradkin-Vasiliev procedure to construct the full set of non-abelian cubic vertices for totally symmetric higher spin gauge fields in anti-de Sitter space. The number of such vertices is given by a certain tensor-product multiplicity. We discuss the one-to-one relation between our result and the list of non-abelian gauge deformations in flat space obtained elsewhere via the cohomological approach. We comment about the uniqueness of Vasiliev's simplest higher-spin algebra in relation with the (non)associativity properties of the gauge algebras that we classified. The gravitational interactions for (partially)-massless (mixed)-symmetry fields are also discussed. We also argue that those mixed-symmetry and/or partially-massless fields that are described by one-form connections within the frame-like approach can have nonabelian interactions among themselves and again the number of nonabelian vertices should be given by tensor product multiplicities.

Identifiants :
  • arXiv : 1211.6979
  • DOI : 10.1007/JHEP05(2013)008

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