The conformal N-point scalar correlator in coordinate space

TL;DR

This paper systematically derives the form of N-point scalar correlators in conformal field theories in dimensions greater than two, focusing on symmetry constraints on functions of cross-ratios.

Contribution

It provides a comprehensive derivation of N-point correlators and their symmetry constraints in higher-dimensional conformal field theories.

Findings

Derived explicit form of N-point correlators in CFTs.

Identified exchange-symmetry constraints on cross-ratio functions.

Enhanced understanding of conformal correlator structures in higher dimensions.

Abstract

We present a systematic derivation of the form of correlators of N operators in a Conformal Field Theory in d>2 dimensions and the exchange-symmetry constraints that the functions of the dimensionless cross-ratios obey for N>3.