2005/07/27 by Andrei Mikhailov, Mikhailov, Andrei · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #nlin.SI
paper · pdf · doi:10.48550/arxiv.hep-th/0507261
30 pages LaTeX; v2,3,4: added explanations, discussion of canonicity (Section 2.2.5); v5: direct derivation of Eq. (64) (Section 3.4); v6: corrected Section 2.2.2
openalex publication_date 2005/07/27 · arxiv created 2006/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss basic properties of the Baecklund transformations for the classical string in AdS space in the context of the null-surface perturbation theory. We explain the relation between the Baecklund transformations and the energy shift of the dual field theory state. We show that the Baecklund transformations can be represented as a finite-time evolution generated by a special linear combination of the Pohlmeyer charges. This is a manifestation of the general property of Baecklund transformations known as spectrality. We also discuss the plane wave limit.