Wronskian Solution for AdS/CFT Y-system

Abstract

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.

31 pages, 4 figures, 1 attached mathematica file

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• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Analytic Solution of Bremsstrahlung TBA
• Quantum spectral curve as a tool for a perturbative quantum field theory
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• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
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• Hybrid-NLIE for the AdS/CFT spectral problem
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