The AdS/CFT Correspondence for the Massive Rarita-Schwinger Field

TL;DR

This paper solves the massive Rarita-Schwinger field equations in anti-de Sitter space and explores their implications in the AdS/CFT correspondence, revealing two distinct boundary operators with different scaling behaviors.

Contribution

It provides a complete solution to the massive Rarita-Schwinger field in AdS space and analyzes the resulting boundary conformal field theory operators.

Findings

Two boundary operators with different scaling dimensions

One operator couples to a Rarita-Schwinger field, the other to a Dirac field

The spinor-coupled operator shows non-analytic mass dependence

Abstract

The complete solution to the massive Rarita-Schwinger field equation in anti-de Sitter space is constructed, and used in the AdS/CFT correspondence to calculate the correlators for the boundary conformal field theory. It is found that when no condition is imposed on the field solution, there appear two different boundary conformal field operators, one coupling to a Rarita-Schwinger field and the other to a Dirac field. These two operators are seen to have different scaling dimensions, with that of the spinor-coupled operator exhibiting non-analytic mass dependence.