Antisymmetric tensor field on $AdS_5$

TL;DR

This paper computes the two-point Green function for a massive antisymmetric tensor field in $AdS_5$ using Hamiltonian AdS/CFT, revealing boundary conformal transformations from $AdS_5$ isometries.

Contribution

It applies the Hamiltonian approach to AdS/CFT to analyze a massive antisymmetric tensor field in $AdS_5$, linking bulk fields to boundary operators.

Findings

Calculated the two-point Green function for the tensor field.

Analyzed conformal transformations induced on the boundary.

Connected bulk antisymmetric tensor fields to boundary operators.

Abstract

By using the Hamiltonian version of the AdS/CFT correspondence, we compute the two-point Green function of a local operator in D=4 N=4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of the second rank on the $AdS_{5}$ background. We discuss the conformal transformations induced on the boundary by isometries of $AdS_{5}$.