2005/04/18 by Gleb Arutyunov, Marija Zamaklar · 38 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complex plane #Computer science #Conserved quantity #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Monodromy #Particle physics theoretical and experimental studies #Physics #Plane (geometry) #Pure mathematics #Quantum mechanics #Relation (database) #Set (abstract data type) #Sigma #String (physics) #Theoretical physics #Transformation (genetics) #hep-th #nlin.SI
paper · pdf · doi:10.1088/1126-6708/2005/07/026
published in Journal of High Energy Physics 2005(07), 026 (Springer Nature) · 25 pages, 1 figure
arxiv created 2005/04/18 · openalex publication_date 2005/07/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We find an explicit relation between the two known ways of generating an infinite set of local conserved charges for the string sigma model on AdS5 x S5: the Backlund and monodromy approaches. We start by constructing the two-parameter family of Backlund transformations for the string with an arbitrary world-sheet metric. We then show that only for a special value of one of the parameters the solutions generated by this transformation are compatible with the Virasoro constraints. By solving the Backlund equations in a non-perturbative fashion, we finally show that the generating functional of the Backlund conservation laws is equal to a certain sum of the quasi-momenta. The positions of the quasi-momenta in the complex spectral plane are uniquely determined by the real parameter of the Backlund transform.