Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability

Details Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability

2010-12-17

arxiv.org/abs/1012.3996v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated

Scientific paper

We review recent applications of the integrable discrete Hirota dynamics (Y-system) in the context of calculation of the planar AdS/CFT spectrum. We start from the description of solution of Hirota equations by the Backlund method where the requirement of analyticity results in the nested Bethe ansatz equations. Then we discuss applications of the Hirota dynamics for the analysis of the asymptotic limit of long operators in the AdS/CFT Y-system.

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