Complementarity of the Maldacena and Karch-Randall Pictures

Details Complementarity of the Maldacena and Karch-Randall Pictures Complementarity of the Maldacena and Karch-Randall Pictures

2002-06-28

arxiv.org/abs/hep-th/0207003v3

Phys.Rev. D69 (2004) 085012

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Revtex 3, Discussion on the absence of a scalar ghost clarified; Additional details on the computation given

Scientific paper

10.1103/PhysRevD.69.085012

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.

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