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Updated: Jul 29, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Quantum Field Theory in AdS Space instead of Lehmann-Symanzik-Zimmerman Axioms
Balt C van Rees1, Xiang Zhao1,2
1CPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128 Palaiseau, France.
Abstract:
The boundary correlation functions for a quantum field theory (QFT) in a fixed anti-de Sitter (AdS) background should reduce to S-matrix elements in the flat-space limit. We consider this procedure in detail for four-point functions. With minimal assumptions we rigorously show that the resulting S-matrix element obeys a dispersion relation, the nonlinear unitarity conditions, and the Froissart-Martin bound. QFT in AdS thus provides an alternative route to fundamental QFT results that normally rely on the LSZ axioms.
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