title: Semiclassical strings in AdS5 × S5 and automorphic functions.
abstract: Using anti-de Sitter-space/conformal-field-theory correspondence we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N=4 super Yang-Mills theory twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the Gribov-Lipatov reciprocity property. To obtain this result we use a hidden modular invariance of the energy-spin relation of the folded spinning string. Furthermore, we identify the Moch-Vermaseren-Vogt relations, which were first recognized in plain QCD calculations, as the recurrence relations of the asymptotic series ansatz.
authors.affiliation: Department of Theoretical Physics, Royal Institute of Technology (KTH)-AlbaNova University Center, Stockholm, Sweden. pawellek@kth.se
authors.forename: Michael
authors.initials: M
authors.lastname: Pawellek