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2018-02-21 - Article/Dans un journal avec peer-review - Anglais - 37 page(s)

Campoleoni Andrea , Fredenhagen Stefan, Raeymaekers Joris, "Quantizing higher-spin gravity in free-field variables" in Journal of High Energy Physics [=JHEP], 1802, 126, 1-37

  • Edition : Institute of Physics Publishing (IOP), Bristol (United Kingdom)
  • Codes CREF : Physique théorique et mathématique (DI1210)
  • Unités de recherche UMONS : Physique théorique et mathématique (S814)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We study the formulation of massless higher-spin gravity on AdS_3 in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be further quotiented out. We show that doing so leads to a bulk version of the Coulomb gas formalism for W_N CFT's: the generators of the residual gauge symmetries are the classical limits of screening charges, while the gauge-invariant observables are classical W_N charges. Quantization in these variables can be carried out using standard techniques and makes manifest a remnant of the triality symmetry of W_infinity[lambda]. This symmetry can be used to argue that the theory should be supplemented with additional matter content which is precisely that of the Prokushkin-Vasiliev theory. As a further application, we use our formulation to quantize a class of conical surplus solutions and confirm the conjecture that these are dual to specific degenerate WN primaries, to all orders in the large central charge expansion.

Identifiants :
  • DOI : 10.1007/JHEP02(2018)126
  • arXiv : 1712.08078 [hep-th]