The boundary S-matrix and the AdS to CFT dictionary

TL;DR

This paper constructs a boundary S-matrix for anti-de Sitter space, linking it directly to boundary conformal field theory correlators, thus enhancing the AdS/CFT correspondence understanding.

Contribution

It introduces a boundary S-matrix framework for AdS space and demonstrates its direct relation to boundary CFT correlation functions, expanding the AdS/CFT dictionary.

Findings

Boundary S-matrix is defined for AdS space.

Boundary S-matrix equals boundary CFT correlation functions.

Provides a new tool for AdS/CFT correspondence analysis.

Abstract

An S-matrix analog is defined for anti-de Sitter space by constructing ``in'' and ``out'' states that asymptote to the timelike boundary. A derivation parallel to that of the LSZ formula shows that this ``boundary S-matrix'' is given directly by correlation functions in the boundary conformal theory. This provides a key entry in the AdS to CFT dictionary.