Complementarity of the Maldacena and Randall-Sundrum Pictures
M. J. Duff, James T. Liu
TL;DR
The coefficient due to closed loops of the U(N) N = 4 super-Yang-Mills theory that arises in Maldacena's anti-de Sitter conformal field theory correspondence is found in exact agreement with the coefficient appearing in the Randall-Sundrum brane-world proposal.
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.