Two-loop commuting charges and the string/gauge duality

Details Two-loop commuting charges and the string/gauge duality Two-loop commuting charges and the string/gauge duality

2004-03-08

arxiv.org/abs/hep-th/0403077v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, contribution to 5th International Workshop on Lie Theory and Its Applications in Physics, Varna, Bulgaria, 16

Scientific paper

We briefly review the status quo of the application of integrable systems techniques to the AdS/CFT correspondence in the large charge approximation, a rapidly evolving topic. Intricate string and gauge computations of, respectively, energies and scaling dimensions agree at the one and two-loop level, but disagree starting from three loops. To add to this pattern, we present further computations which demonstrate that for folded and circular spinning strings the full tower of infinitely many hidden commuting charges, responsible for the integrability, also agrees up to two, but not three, loops.

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