2010/12/20 by Nikolay Gromov, Vladimir Kazakov
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/s11005-011-0513-x
24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated
arxiv created 2010/12/20 · arxiv updated 2015/05/20
We review recent applications of the integrable discrete Hirota dynamics (Y-system) in the context of calculation of the planar AdS/CFT spectrum. We start from the description of solution of Hirota equations by the Backlund method where the requirement of analyticity results in the nested Bethe ansatz equations. Then we discuss applications of the Hirota dynamics for the analysis of the asymptotic limit of long operators in the AdS/CFT Y-system.