AdS4/CFT3 construction from collective fields

We pursue the construction of higher-spin theory in AdS4 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 AdS4 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 AdS4 space-time and higher-spin fields. © 2011 The American Physical Society.