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We investigate the quantum integrability of the Alday-Arutyunov-Frolov (AAF) model by calculating the three-particle scattering amplitude at the first non-trivial order and showing that the S-matrix is factorizable at this order.
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N. Gromov and V. Kazakov, “Asymptotic Bethe ansatz from string sigma model on S 3 × R {S}^{3}\times{R} ,” hep-th/0605026
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L. F. Alday, G. Arutyunov, and S. Frolov, “New Integrable System of 2dim Fermions from Strings on A d S 5 × S 5 {AdS}_{5}\times{S}^{5} ,” hep-th/0508140
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