Constructing the bulk at the critical point of three-dimensional large N vector theories

Abstract

In the context of the AdS4/CFT3 correspondence between higher spin fields and vector theories, we use the constructive bilocal fields based approach to this correspondence, to demonstrate, at the IR critical point of the interacting vector theory and directly in the bulk, the removal of the Δ=1 (s=0) state from the higher spins field spectrum, and to exhibit simple Klein-Gordon higher spin Hamiltonians. The bulk variables and higher spin fields are obtained in a simple manner from boundary bilocals, by the change of variables previously derived for the UV critical point (in momentum space), together with a field redefinition.