Scalar fields and three-point functions in D=3 higher spin gravity

Understand

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda.

• In the process, we develop tools for extracting scalar field equations in arbitrary higher spin backgrounds.
• We work in the context of hs[\lambda] + hs[\lambda] Chern-Simons theory coupled to scalar fields, and make efficient use of the associative lone-star product underlying the hs[\lambda] algebra.
• Our results for the correlators precisely match expectations from CFT; in particular they match those of any CFT with W_{\infinity}[\lambda] symmetry at large central charge, and with primary operators dual to the scalar fields.