On AdS5×S5AdS5×S5 string S-matrix

Recently two interesting conjectures about the string S-matrix on AdS5×S5AdS5×S5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum string Bethe ansatz. Second, Hernandez and Lopez proposed an explicit form of 1/λ correction to the dressing factor. In this Letter we show that in the strong coupling expansion Janik's equation is solved by the dressing factor up to the order of its validity. This observation provides a strong evidence in favor of a conjectured Hopf algebra symmetry for strings in AdS5×S5AdS5×S5 as well as the perturbative string S-matrix.