Branes in the bulk of Anti-de Sitter space

TL;DR

This paper demonstrates the consistency of the AdS/CFT correspondence by comparing the one-loop effective potential in N=4 super Yang-Mills theory with classical brane wave potentials in AdS supergravity, supporting the string theory framework.

Contribution

It provides a detailed comparison between quantum field theory calculations and classical gravity solutions, reinforcing the AdS/CFT duality in a specific Higgsed setup.

Findings

One-loop effective potential matches classical brane wave potential.

Supports the validity of AdS/CFT correspondence in Higgsed theories.

Long-wavelength limit shows agreement between quantum and classical descriptions.

Abstract

We consider (3 + 1)-dimensional N=4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for excitations of the Yang-Mills field agrees with the classical linearized potential for brane waves in the AdS picture in the limit of long wavelengths. This supports the idea that the AdS/CFT correspondance fits into string theory as expected from previous work.