Complementarity of the Maldacena and Karch-Randall Pictures

TL;DR

This paper provides a one-loop quantum correction analysis within the AdS/CFT framework, confirming the graviton mass in the Karch-Randall model and revealing ratios consistent with Weyl anomaly and gravitational potential corrections.

Contribution

It offers the first detailed one-loop test of the holographic interpretation of the Karch-Randall model, linking quantum corrections to classical graviton mass results.

Findings

Quantum corrections induce a graviton mass matching Karch-Randall predictions.

Loop contributions from different spins follow a specific 1:3:12 ratio.

Results align with Weyl anomaly and Newtonian potential corrections.

Abstract

We perform a one-loop test of the holographic interpretation of the Karch-Randall model, whereby a massive graviton appears on an AdS_4 brane in an AdS_5 bulk. Within the AdS/CFT framework, we examine the quantum corrections to the graviton propagator on the brane, and demonstrate that they induce a graviton mass in exact agreement with the Karch-Randall result. Interestingly enough, at one loop order, the spin 0, spin 1/2 and spin 1 loops contribute to the dynamically generated (mass)^2 in the same 1: 3: 12 ratio as enters the Weyl anomaly and the 1/r^3 corrections to the Newtonian gravitational potential.