Local quantum observables in the anti-de-Sitter–conformal QFT correspondence

Quantum field theory on (d+1)-dimensional anti-de-Sitter space–time admits a reinterpretation 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.