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2016-01-28 - Article/Dans un journal avec peer-review - Anglais - 28 page(s)

Boulanger Nicolas , Sundell Per, Valenzuela Mauricio, "Gravitational and gauge couplings in Chern-Simons fractional spin gravity" in Journal of High Energy Physics [=JHEP], JHEP 1601 (2016) 173

  • Edition : Institute of Physics Publishing (IOP), Bristol (United Kingdom)
  • 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 théorique et mathématique (S814), Mécanique et gravitation (S884S)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number operator and to all orders in the deformation parameter. We then find the relation between the gravitational and internal gauge couplings in the resulting unified three-dimensional Chern--Simons theory for Blencowe--Vasiliev higher spin gravity coupled to fractional spin fields and internal gauge potentials. We also examine the model for integer or half-integer fractional spins, where infinite dimensional ideals arise and decouple, leaving finite dimensional gauge algebras gl(2l+1) or gl(l|l+1) and various real forms thereof.

Identifiants :
  • DOI : 10.1007/JHEP01(2016)173