The Emergence of Localized Gravity

TL;DR

This paper investigates how localized gravity arises in a Randall-Sundrum model with slightly sub-critical brane tension, analyzing graviton modes and boundary conformal field theory implications.

Contribution

It provides a detailed calculation of graviton Kaluza-Klein modes and demonstrates the emergence of localized gravity as brane tension approaches criticality.

Findings

Graviton masses are computed for sub-critical brane tension.

Localized gravity emerges near the critical tension point.

Connections to boundary conformal field theory are discussed.

Abstract

We explore physics on the boundary of a Randall-Sundrum type model when the brane tension is slightly sub-critical. We calculate the masses of the Kaluza-Klein decomposition of the graviton and use a toy model to show how localized gravity emerges as the brane tension becomes critical. Finally, we discuss some aspects of the boundary conformal field theory and the AdS/CFT correspondence.