Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-06-28
J.Phys.A44:015402,2011
Physics
High Energy Physics
High Energy Physics - Theory
clarifications added to Appendix; published version
Scientific paper
10.1088/1751-8113/44/1/015402
We show how the perturbation theory results recently obtained by F.Fiamberti, A.Santambrogio, C.Sieg and D.Zanon for operator anomalous dimensions of beta-deformed Super-Yang-Mills theory can be reproduced from the AdS5/CFT4 Y-system proposed by N.G., V.Kazakov and P.Vieira. To do this, we obtain the general twisted asymptotic solution of this Y-system of functional equations. We show that existence of an additional parameter beta in the deformed theory allows to extract rich information about the perturbation theory integrals directly from Y-system. Using this method we found a simple generating function for a broad class of such integrals.
Gromov Nikolay
Levkovich-Maslyuk Fedor
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