## Séminaire de Physique Théorique

**Noncommutative open Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields**

Nicolas Boulanger (U. Monts, Belgique)

Thursday 01 June 2017 11:00 - Tours - Salle 1180 (Bât E2)

**Résumé :**

We first explain the relations between the zero-form invariants of Vasiliev’s theory and open Wilson lines in non commutative Yang-Mills theory. We then prove that the cyclically-symmetric higher-spin invariants 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 cyclically-symmetric building blocks of the correlation functions. As a by product, we derive the result for the free CFT in arbitrary dimension, which does not seem to have been done before, whereas we reproduce known results in the case of the CFT_3.

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