Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory

Abstract

Anomalous dimensions of high-twist Wilson operators have a nontrivial scaling behavior in the limit when their Lorentz spin grows exponentially with the twist. To describe the corresponding scaling function in planar N=4 SYM theory, we analyze an integral equation recently proposed by Freyhult, Rej and Staudacher and argue that at strong coupling it can be casted into a form identical to the thermodynamical Bethe Ansatz equations for the nonlinear O(6) sigma model. This result is in a perfect agreement with the proposal put forward by Alday and Maldacena within the dual string description, that the scaling function should coincide with the energy density of the nonlinear O(6) sigma model embedded into AdS_5xS^5.

25 pages

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• Quantum integrability and functional equations
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• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
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• Beyond cusp anomalous dimension from integrability
• Nonperturbative scales in AdS/CFT
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• Bethe Ansaetze for GKP strings
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• On the scattering over the GKP vacuum
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• The 2-loop generalized scaling function from the BES/FRS equation
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• Fine Structure of String Spectrum in AdS(5)xS(5)
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• Integrability and the AdS/CFT correspondence
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• Resurgence and Dynamics of O(N) and Grassmannian Sigma Models
• Exact results for the low energy AdS(4)XCP(3) string theory
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
• Generalised scaling at subleading order
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
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