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On AdS_5 x S^5 String S-matrix

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arxiv hep-th/0604043 v2 pith:2VN6G4BG submitted 2006-04-06 hep-th

classification hep-th
keywords stringdressingfactors-matrixalgebraequationhopfjanik
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling

    hep-th 2019-08 unverdicted

    A review of known results on DGLAP and BFKL equations in N=4 SYM, from weak-coupling perturbation theory to strong coupling via AdS/CFT and integrability, with no new derivations.

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