A new AdS/CFT correspondence

We consider a geometric zero-radius limit for strings on AdS(5) X S-5, where the Anti-de Sitter hyperboloid becomes the projective lightcone. In this limit the fifth dimension becomes non dynamical, yielding a different "holographic" interpretation than the usual "bulk to boundary" one. When quantized on the random lattice, the fifth coordinate acts as a new kind of Schwinger parameter, producing Feynman rules with normal propagators at the tree level: for example, in the bosonic case ordinary massless phi (4) theory is obtained. In the superstring case we obtain new, manifestly N = 4 supersymmetric rules for N = 4 super Yang-Mills. These gluons are also different from those of the usual AdS/CFT correspondence: they are the "partons" that make up the usual "hadrons" of the open and closed strings in the familiar QCD string picture. Thus, their coupling g(YM) and rank N of the "color" gauge group are different from those of the "flavor" gauge group of the open string. As a result we obtain different perturbation expansions in radius, coupling, and 1/N.