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We perform a one-loop test of the holographic interpretation of the Karch-Randall model, whereby a massive graviton appears on an AdS₄ brane in an AdS₅ 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 enter the Weyl anomaly and the 1/r^3 corrections to the Newtonian gravitational potential.
Duff et al. (Tue,) studied this question.