2009/04/30 by Gleb Arutyunov, Sergey Frolov · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Bound state #Computer science #Cosmology and Gravitation Theories #Factor (programming language) #Geometry #Law #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #State (computer science) #State-transition matrix #String (physics) #String theory #Symmetric matrix #Theoretical physics #Torus #Upper and lower bounds #hep-th
paper · pdf · doi:10.1088/1751-8113/42/42/425401
LaTex, 48 pages, 10 figures; v2: a new section added where the dressing factor of the mirror theory is found; v3: formula (6.12) is corrected, a new figure is added, accepted for publication in J.Phys.A
arxiv created 2009/09/24 · openalex publication_date 2009/10/05 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS5xS5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor on the rapidity torus. The results obtained are further used, in conjunction with the fusion procedure, to determine the bound state dressing factor of the mirror theory. We convincingly demonstrate that the mirror bound state S-matrix found in this way does not depend on the internal structure of a bound state solution employed in the fusion procedure. This welcome feature is in perfect parallel to string theory, where the corresponding bound state S-matrix has no bearing on bound state constituent particles as well. The mirror bound state S-matrix we found provides the final missing piece in setting up the TBA equations for the AdS5xS5 mirror theory.