The massless gravitino and the AdS/CFT correspondence

TL;DR

This paper solves the boundary value problem for the massless gravitino in AdS space and calculates the dual CFT supersymmetry current correlators, revealing that boundary data reduces to a lower-dimensional gravitino.

Contribution

It provides the explicit solution for the massless gravitino boundary value problem and computes the two-point function of dual CFT currents within the AdS/CFT framework.

Findings

Boundary data for massless gravitino is a (d-1)-dimensional gravitino.

Calculated two-point functions of supersymmetry currents.

Demonstrated the boundary data reduction similar to the spinor case.

Abstract

We solve the Dirichlet boundary value problem for the massless gravitino on $AdS_{d+1}$ space and compute the two-point function of the dual CFT supersymmetry currents using the $AdS$/CFT correspondence principle. We find analogously to the spinor case that the boundary data for the massless $(d+1)$ dimensional bulk gravitino field consists of only a $(d-1)$ dimensional gravitino.