Collective Dipole Model of AdS/CFT and Higher Spin Gravity

TL;DR

This paper develops a first quantized, bi-local framework for the AdS/CFT correspondence, connecting large N vector models to higher-spin gravity in AdS spaces through a collective bi-particle system.

Contribution

It introduces a novel first quantized, world-sheet approach to AdS/CFT, generalizing previous models to any dimension and explicitly deriving higher-spin AdS particles from bi-local fields.

Findings

Constructs a bi-local representation of the free large N vector model.

Shows how higher-spin AdS particles emerge from a bi-particle system.

Provides a universal scheme for AdS/CFT in any dimension.

Abstract

We formulate a first quantized construction of the AdS_{d+1}/CFT_d correspondence using the bi-local representation of the free d-dimensional large N vector model. The earlier reconstruction of AdS_4 higher-spin gravity provides a scheme where the AdS spacetime (and higher-spin fields) are given by the composite bi-local fields. The underlying first quantized, world-sheet picture is extracted in the present work and generalized to any dimension. A higher-spin AdS particle model is shown to emerge from the collective bi-particle system of Minkowski particles through a canonical transformation. As such this construction provides a simple explicit mechanism of the AdS/CFT correspondence.