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arxiv: 1010.2720 · v2 · pith:LM3E5FWLnew · submitted 2010-10-13 · ✦ hep-th · math-ph· math.MP· nlin.SI

Wronskian Solution for AdS/CFT Y-system

classification ✦ hep-th math-phmath.MPnlin.SI
keywords finiteoperatorsq-functionsasymptoticfullsizesolutionspectrum
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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 Baxter's 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.

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