AdS4/CFT3 construction from collective fields

We pursue the construction of higher-spin theory in AdS(4) from CFT3 of the O(N) vector model in terms of canonical collective fields. In null-plane quantization an exact map is established between the two spaces. The coordinates of the AdS(4) space-time are generated from the collective coordinates of the bi-local field. This, in the light-cone gauge, provides an exact one-to-one reconstruction of bulk AdS(4) space-time and higher-spin fields.