Note on the Massive Rarita-Schwinger Field in the AdS/CFT correspondence

TL;DR

This paper analyzes a massive Rarita-Schwinger field in AdS space, deriving boundary correlation functions and relating field masses to conformal dimensions in the dual CFT.

Contribution

It provides a detailed solution to the equations of motion for the Rarita-Schwinger field and establishes the mass-dimension relation in the AdS/CFT context.

Findings

Derived two-point correlation functions for spin-3/2 fields.

Established the relation between Rarita-Schwinger mass and conformal dimensions.

Solved equations of motion for the massive Rarita-Schwinger field.

Abstract

We consider a massive Rarita-Schwinger field on the Anti-de Sitter space and solve the corresponding equations of motion. We show that appropriate boundary terms calculated on-shell give two-point correlation functions for spin-3/2 fields of the conformal field theory on the boundary. The relation between Rarita-Schwinger field masses and conformal dimensions of corresponding operators is established.