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Complementarity of the Maldacena and Randall-Sundrum pictures. (English) Zbl 1369.83089
Summary: We revive an old result, that one-loop corrections to the graviton propagator induce 1/r3 corrections to the Newtonian gravitational potential, and compute 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. 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.

##### MSC:
 83E15 Kaluza-Klein and other higher-dimensional theories 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 81T60 Supersymmetric field theories in quantum mechanics 83E30 String and superstring theories in gravitational theory
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