A general construction of conformal field theories from scalar anti-de Sitter quantum field theories Original Research Article

We provide a new general setting for scalar interacting fields on the covering of a ( d+1 )-dimensional AdS spacetime. The formalism is used at first to construct a one-parameter family of field theories, each living on a corresponding spacetime submanifold of AdS, which is a cylinder R×Sd−1 . We then introduce a limiting procedure which directly produces Lüscher–Mack CFTʹs on the covering of the AdS asymptotic cone. Our generalized AdS → CFT construction is nonperturbative, and is illustrated by a complete treatment of two-point functions, the case of Klein–Gordon fields appearing as particularly simple in our context.