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2018-03-14 - Colloque/Présentation - communication orale - Anglais - page(s)

De Filippi David , "Noncommutative Wilson lines in higher-spin theory" in Strings, Cosmology and Gravity Student Conference, ULB (Bruxelles), Belgique, 2018

  • Codes CREF : Physique théorique et mathématique (DI1210)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)

Abstract(s) :

(Anglais) We first prove that, the known observables of the four-dimensional Vasiliev's theory, referred to as zero-form charges, are twisted open Wilson lines in the noncommutative Z space. We then prove that, the cyclically-symmetric higher-spin invariants given by the leading order of these n-point zero-form charges are equal to corresponding cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the CFT side, our proof involves the explicit computation of the separate cyclic building blocks of the correlation functions of n conserved currents in arbitrary dimension d>2, which generalizes known results on 3-point functions for any d>2, and on n-point functions for d=3.