A Proposal on Some Microscopic Aspects of the AdS/CFT Duality

TL;DR

This paper proposes a microscopic model of the AdS/CFT duality using a gas of 3-branes in a 10-dimensional space, revealing new insights into the correspondence between CFT operators and AdS states.

Contribution

It introduces a novel microscopic model of the AdS/CFT duality that clarifies the operator-state correspondence through a non-local transformation.

Findings

The 10D space does not exhibit standard gravity dynamics.

A non-local transformation maps the system's dynamics to standard gravitons.

Enhanced understanding of the operator-geometry correspondence in AdS/CFT.

Abstract

We suggest a model of the large N limit ${\cal N}=4$ D=4 SU(N) SYM as a gas of 3-branes in a 10 dimensional space. Field theory analysis suggests that this 10 dimensional space does not carry the usual gravity dynamics but rather a contraction of it. Using a non-local transformation some aspects of the dynamics of this system are mapped to the dynamics of standard gravitons on $AdS_5\times S^5$. In particular some of the correspondence between operator in the CFT and states on $AdS$ is more transparent.