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 Wronskian Solution for AdS-CFT Y-system

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Using the discrete Hirota integrability we find the general solution of the full quantum Y-system for the spectrum of anomalous dimensions of operators in the planar AdS5-CFT4 correspondence in terms of Wronskian-like determinants parameterized by a finite number of Baxters Q-functions. We consider it as a useful step towards the construction of a finite system of non-linear integral equations FiNLIE for the full spectrum. The explicit asymptotic form of all the Q-functions for the large size operators is presented. We establish the symmetries and the analyticity properties of the asymptotic Q-functions and discuss their possible generalization to any finite size operators.

Autor: Nikolay Gromov; Vladimir Kazakov; Sebastien Leurent; Zengo Tsuboi

Fuente: https://archive.org/

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