2006/04/30 by G. Arutyunov, Sergey Frolov, S. Frolov · 161 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Black Holes and Theoretical Physics #Coupling (piping) #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Order (exchange) #Pure mathematics #String (physics) #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/j.physletb.2006.06.064
published in Physics Letters B 639(3-4), 378-382 (Elsevier BV) · 10 pages, version2: misprints are corrected
arxiv created 2006/06/09 · openalex publication_date 2006/07/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recently two interesting conjectures about the string S-matrix on AdS5 x 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/√λcorrection 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 AdS5 x S5 as well as the perturbative string S-matrix.