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arXiv · 1103.2819

Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions

Michael Pawellek
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Abstract

Using AdS/CFT we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N=4 SYM twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the Gribov-Lipatov recirocity property. To obtain this result we use a hidden modular invariance of the energy-spin relation of the folded spinning string. Further we identify the Moch-Vermaseren-Vogt (MVV) relations, which were first recognized in plain QCD calculations, as the recurrence relations of the asymptotic series ansatz.

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Michael Pawellek. 2011-03-15. Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions. https://doi.org/10.1103/physrevlett.106.241601

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