Wronskian Solution for AdS/CFT Y-system

Details Wronskian Solution for AdS/CFT Y-system Wronskian Solution for AdS/CFT Y-system

2010-10-13

arxiv.org/abs/1010.2720v2

JHEP 1101:155,2011

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 4 figures, 1 attached mathematica file

Scientific paper

10.1007/JHEP01(2011)155

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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