Dressed Domain Walls and Holography

TL;DR

This paper investigates the duality between domain walls in AdS/CFT and Randall-Sundrum models, revealing how trace anomalies and nonlinear effects influence wall dynamics and tension renormalization.

Contribution

It provides an exact solution for relativistic domain walls in both gravitational and CFT frameworks, demonstrating the effects of trace anomaly and nonlinear corrections.

Findings

No particle production for symmetric wall motion.

Trace anomaly renormalizes the domain wall tension.

Nonlinear deviations from General Relativity are quantitatively matched.

Abstract

The cutoff version of the AdS/CFT correspondence states that the Randall Sundrum scenario is dual to a Conformal Field Theory (CFT) coupled to gravity in four dimensions. The gravitational field produced by relativistic domain walls can be exactly solved in both sides of the correspondence, and thus provides one further check of it. We show in the two sides that for the most symmetric case, the wall motion does not lead to particle production of the CFT fields. Still, there are nontrivial effects. Due to the trace anomaly, the CFT effectively renormalizes the domain wall tension. On the five dimensional side, the wall is a codimension 2 brane localized on the Randall-Sundrum brane, which pulls the wall in a uniform acceleration. This is perceived from the brane as a domain wall with a tension slightly larger than its bare value. In both cases, the deviation from General Relativity appears at nonlinear level in the source, and the leading corrections match to the numerical factors.