Comments on the Holographic Picture of the Randall-Sundrum Model

TL;DR

This paper examines the holographic interpretation of the Randall-Sundrum model, verifying its duality to a 4D conformal field theory, analyzing radion coupling, stabilization mechanisms, and flavor conservation issues.

Contribution

It provides checks of the holographic duality, clarifies radion coupling and stabilization, and discusses flavor conservation within the Randall-Sundrum framework.

Findings

Radion couples conformally to background 4D metric.

Goldberger-Wise mechanism stabilizes the radion.

Electroweak breaking influences radion stabilization and flavor conservation.

Abstract

We discuss some issues about the holographic interpretation of the compact Randall-Sundrum model, which is conjectured to be dual to a 4d field theory with non-linearly realized conformal symmetry. We make several checks of this conjecture. In particular, we show that the radion couples conformally to a background 4d metric. We also discuss the interpretation of the Goldberger-Wise mechanism for stabilizing the radion. We consider situations where the electroweak breaking stabilizes the radion and we discuss the issue of natural conservation of flavor quantum numbers.