Complementarity of the Maldacena and Randall-Sundrum Pictures

TL;DR

This paper demonstrates that one-loop quantum corrections from super-Yang-Mills theory in AdS/CFT precisely match the predictions of the Randall-Sundrum brane-world model, supporting their theoretical complementarity.

Contribution

It explicitly computes the one-loop correction coefficient in AdS/CFT and shows its exact agreement with the Randall-Sundrum model, strengthening the connection between the two frameworks.

Findings

Exact agreement of correction coefficients between the two models

Supports the theoretical complementarity of AdS/CFT and Randall-Sundrum pictures

Revisits and confirms old results with new calculations

Abstract

We revive an old result, that one-loop corrections to the graviton propagator induce 1/r^3 corrections to the Newtonian gravitational potential, and compute the coefficient due to closed loops of the U(N) {\cal N}=4 super-Yang-Mills theory that arises in Maldacena's AdS/CFT correspondence. We find exact agreement with the coefficient appearing in the Randall-Sundrum brane-world proposal. This provides more evidence for the complementarity of the two pictures.