Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields

TL;DR

This paper leverages the AdS/CFT correspondence to compute correlation functions of vector and spinor fields in conformal field theories, focusing on the boundary value problem approach in Anti-de Sitter space.

Contribution

It extends previous work by explicitly deriving CFT correlators for vector and spinor fields using classical field theory methods on AdS space.

Findings

Derived explicit formulas for vector and spinor correlators

Clarified the boundary value problem approach in AdS/CFT

Enhanced understanding of field-operator correspondence in AdS/CFT

Abstract

We use the AdS/CFT correspondence to calculate CFT correlation functions of vector and spinor fields. The connection between the AdS and boundary fields is properly treated via a Dirichlet boundary value problem.