Local Quantum Observables in the Anti-deSitter - Conformal QFT Correspondence

TL;DR

This paper proves a general correspondence between local quantum observables in anti-deSitter space and conformal quantum field theories on Minkowski space, confirming a key conjecture from string theory.

Contribution

It provides a rigorous proof of the AdS/CFT correspondence at the level of local observables within a general framework.

Findings

Explicit identification of local observables in AdS and CFT

Validation of the AdS/CFT conjecture in a broad setting

Framework applicable to various dimensions and theories

Abstract

Quantum field theory on d+1-dimensional anti-deSitter space-time admits a re-interpretation as a quantum field theory with conformal symmetry on d-dimensional Minkowski space-time. This conjecture originally emerged from string theory considerations. Here, it is proven in a general framework by an explicit identification between the local observables of the two corresponding theories.