Gauge Dependence in the AdS/CFT Correspondence

TL;DR

This paper investigates how gauge choices affect the AdS/CFT correspondence, demonstrating that gauge dependence manifests only in contact terms of boundary correlation functions, with the model reducing to Maxwell theory in the massless limit.

Contribution

It shows that in the AdS/CFT framework, gauge dependence is confined to contact terms, providing insight into gauge invariance in holographic dualities.

Findings

Infrared singularities are absent in the on-shell action as vector boson mass approaches zero.

The model reduces to Maxwell theory in an arbitrary covariant gauge in the massless limit.

Gauge dependence appears only in contact terms of boundary correlation functions.

Abstract

We consider the AdS space formulation of the classical dynamics deriving from the Stueckelberg Lagrangian. The on-shell action is shown to be free of infrared singularities as the vector boson mass tends to zero. In this limit the model becomes Maxwell theory formulated in an arbitrary covariant gauge. Then we use the AdS/CFT correspondence to compute the two-point correlation functions on the boundary. It is shown that the gauge dependence concentrates on the contact terms.