BCFW for Witten Diagrams

TL;DR

This paper introduces a generalized BCFW recursion relation method to efficiently compute correlation functions of stress tensors and conserved currents in conformal field theories with AdS duals, especially in higher dimensions.

Contribution

It extends BCFW recursion relations to calculate complex correlation functions in AdS/CFT, providing a new computational approach for theories with p > 4.

Findings

Efficient recursive method for stress tensor correlators in AdS/CFT.

Applicable to supersymmetric theories for operators in the same multiplet.

Simplifies calculations in tree-level Yang-Mills and gravity duals.

Abstract

We show that a generalization of the BCFW recursion relations gives a new and efficient method of computing correlation functions of the stress tensor or conserved currents in conformal field theories with an AdS_p dual, for p > 4, in the limit where the bulk theory is approximated by tree-level Yang-Mills or gravity. In supersymmetric theories, additional correlators of operators that live in the same multiplet as a conserved current or stress tensor can be computed by these means.