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2020-12-30 - Article/Dans un journal avec peer-review - Anglais - 31 page(s) (A publier)

Boulanger Nicolas , Lekeu Victor, "Higher spins from exotic dualisations" in Journal of High Energy Physics

  • Edition : Springer, Heidelberg (Germany)
  • Codes CREF : Physique théorique et mathématique (DI1210), Mécanique quantique classique et relativiste (DI1211), Gravitation (DI1216), Théorie quantique des champs (DI1215)
  • 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)
Texte intégral :

Abstract(s) :

(Anglais) At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height $h_i$ by columns of height $D-2-h_i$, where $D$ is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of $D-2$ extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in $D=5$ and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in $D=3$.

Identifiants :
  • arXiv : https://arxiv.org/pdf/2012.11356.pdf