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2019-09-15 - Colloque/Présentation - communication orale - Anglais - 0 page(s)

Traina Lucas , "An interacting theory for multiple partially massless spin-2 fields" in Corfu Summer Institute 2019, Corfou, Grèce, 2019

  • Codes CREF : Physique théorique et mathématique (DI1210), Gravitation (DI1216)
  • Unités de recherche UMONS : Physique de l'Univers, Champs et Gravitation (S827)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)

Abstract(s) :

(Anglais) In this talk I will present the results of arXiv 1906.03868 where we revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang–Mills type non-abelian deformations of the partially massless gauge algebra, we prove the uniqueness of the cubic interaction vertex and field-dependent gauge transformation that generalize the structures known from single-field analyses. Unlike in the case of one partially massless field, however, we show that for two or more particle species the cubic deformations can be made consistent at the complete non-linear level, albeit at the expense of allowing for negative relative signs between kinetic terms, making our new theory akin to conformal gravity. Our construction thus provides the first example of an interacting theory containing only partially massless fields.