4.4 Article

Wronskian solution for AdS/CFT Y-system

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2011)155

Keywords

AdS-CFT Correspondence; Integrable Field Theories

Funding

  1. ANR [BLAN-08-1-313695]
  2. Nishina Memorial Foundation
  3. The Ministry of Education, Culture, Sports, Science and Technology in Japan [19740244]
  4. Ecole Normale Superieure, LPT
  5. [RFFI 08-02-00287]
  6. STFC [ST/G000395/1, ST/J002798/1] Funding Source: UKRI
  7. Science and Technology Facilities Council [ST/J002798/1, ST/G000395/1] Funding Source: researchfish

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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 AdS(5)/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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