Massive symmetric tensor field on AdS

TL;DR

This paper computes the two-point Green function for a massive symmetric tensor field in AdS space within the AdS/CFT framework, revealing its relation to the graviton's two-point function as mass approaches zero.

Contribution

It provides an explicit calculation of the two-point function for a massive symmetric tensor in AdS, extending the understanding of tensor fields in holographic dualities.

Findings

Two-point function matches the graviton's in the massless limit.

Demonstrates consistency of the massive tensor field with known graviton behavior.

Provides a foundation for further studies of tensor fields in AdS/CFT.

Abstract

The two-point Green function of a local operator in CFT corresponding to a massive symmetric tensor field on the AdS background is computed in the framework of the AdS/CFT correspondence. The obtained two-point function is shown to coincide with the two-point function of the graviton in the limit when the mass vanishes.