Randall-Sundrum models and the regularized AdS/CFT correspondence

TL;DR

This paper explores the holographic duality between Randall-Sundrum models and regularized conformal field theories, analyzing correlation functions and the emergence of dynamical sources within a regularized AdS/CFT framework.

Contribution

It provides a detailed analysis of the regularized AdS/CFT correspondence for Randall-Sundrum models, highlighting the generation of kinetic terms and the necessary counterterms for correlators.

Findings

Correlation functions match in both descriptions

Regularization induces kinetic terms for sources

Counterterms are identified for renormalization

Abstract

It has been proposed that Randall-Sundrum models can be holographically described by a regularized (broken) conformal field theory. We analyze the foundations of this duality using a regularized version of the AdS/CFT correspondence. We compare two- and three-point correlation functions and find the same behaviour in both descriptions. In particular, we show that the regularization of the deformed CFT generates kinetic terms for the sources, which hence can be naturally treated as dynamical fields. We also discuss the counterterms required for two- and three-point correlators in the renormalized AdS/CFT correspondence.