Test of the anti-de Sitter-space/conformal-field-theory correspondence using high-spin operators.
In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resumes the perturbative series. In a confirmation of the anti-de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS5. We also make a numerical prediction for the third term in the strong coupling series.
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Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA.
Benvenuti
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Klebanov
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Scardicchio
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