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We derive an eikonal approximation to high energy interactions in Anti-deSitter spacetime, by generalizing a position space derivation of the eikonalamplitude in flat space. We are able to resum, in terms of a generalized phaseshift, ladder and cross ladder graphs associated to the exchange of a spin jfield, to all orders in the coupling constant. Using the AdS/CFTcorrespondence, the resulting amplitude determines the behavior of the dualconformal field theory four point function < O_1 O_2 O_1 O_2 > for small valuesof the cross ratios, in a Lorentzian regime. Finally we show that the phaseshift is dominated by graviton exchange and computes, in the dual CFT, theanomalous dimension of the double trace primary operators O_1 \partial ...\partial O_2 of large dimension and spin, corresponding to the relative motionof the two interacting particles. The results are valid at strong t'Hooftcoupling and are exact in the 1/N expansion.

Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion