AdS_4/CFT_3 Construction from Collective Fields

Abstract

We pursue the construction of higher-spin theory in AdS_4 from CFT_3 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.

17 pages, no figures; v2: references added; v3: minor changes

References in corpus (4)

• The Pomeron and Gauge/String Duality
• Holographic description of quantum field theory
• Aspects of emergent geometry in the AdS/CFT context
• Stochastic quantization and the role of time in quantum gravity

Cited by in corpus (5)

• Symmetries of Holographic Minimal Models
• Effective action in a higher-spin background
• Holographic dual of free field theory
• FV-type action for AdS(5) mixed-symmetry fields
• Higher Spins and Open Strings: Quartic Interactions