Spinor Exchange in AdS_{d+1}

TL;DR

This paper calculates a spinor exchange Witten diagram in AdS space, simplifying it to a scalar exchange, and discusses implications for four-point functions and operator product expansion in the dual CFT.

Contribution

It provides an explicit computation of spinor exchange diagrams in AdS and relates them to scalar exchanges, aiding the analysis of correlation functions in AdS/CFT, especially for supersymmetric theories.

Findings

Explicit spinor exchange amplitude calculation in AdS

Reduction of spinor exchange to scalar exchange amplitude

Insights into operator product expansion in dual CFT

Abstract

We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the AdS/CFT correspondence, especially in supersymmetric cases. We also show that the amplitude can be reduced to a scalar exchange amplitude. We discuss the operator product expansion of the dual conformal field theory by interpreting the short distance expansion of the amplitude according to the AdS/CFT correspondence.