Brane World Effective Action at Low Energies and AdS/CFT Correspondence

TL;DR

This paper develops a low-energy iterative method to derive the effective action in brane world models, clarifies its relation to AdS/CFT correspondence, and introduces generalized dark radiation as solutions, providing a holographic perspective.

Contribution

It presents a novel iterative scheme for deriving the brane world effective action and clarifies its connection with AdS/CFT correspondence, including the role of generalized dark radiation.

Findings

Derived the brane world effective action at low energies.

Established the holographic relation between bulk geometry and brane action.

Identified generalized dark radiation as homogeneous solutions.

Abstract

A low energy iteration scheme to study nonlinear gravity in the brane world is developed. As a result, we obtain the brane world effective action at low energies. The relation between the geometrical approach and the approach using the AdS/CFT correspondence is also clarified. In particular, we find generalized dark radiation as homogeneous solutions in our iteration scheme. Moreover, the precise correspondence between the bulk geometry and the brane effective action is established, which gives a holographic view of the brane world.