Randall-Sundrum models and the regularized AdS/CFT correspondence

TL;DR

The paper investigates Randall-Sundrum models (RS2 and RS1) through a regularized AdS/CFT framework, showing that CFT regularization naturally yields dynamical gravity on the Planck brane and yields propagating bulk-induced fields. It computes and matches two- and three-point functions on the RS side with those of the dual regularized CFT, clarifying the roles of regularization, counterterms, and renormalization in reproducing conformal structures and brane dynamics. The work presents two complementary viewpoints: RS2 as a regularized CFT and RS2 as a renormalized CFT coupled to a local theory with kinetic terms for sources, and extends the analysis to RS1, localized branes, and the implications for extremal correlators. It also discusses the interplay between bulk calculations, holographic renormalization, and inner AdS/CFT correspondences, outlining open questions such as backreaction and the full nonperturbative structure of the dual theory.

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.