On AdS_5 x S^5 String S-matrix

Details On AdS_5 x S^5 String S-matrix On AdS_5 x S^5 String S-matrix

2006-04-06

arxiv.org/abs/hep-th/0604043v2

Phys.Lett.B639:378-382,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, version2: misprints are corrected

Scientific paper

10.1016/j.physletb.2006.06.064

Recently two interesting conjectures about the string S-matrix on AdS_5 x S^5 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/\sqrt\lambda correction to the dressing factor. In this note 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 AdS_5 x S^5 as well as the perturbative string S-matrix.

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