Mikhailov, Andrei (2007) Bäcklund transformations, energy shift and the plane wave limit. Advances in Theoretical and Mathematical Physics, 11 (6). pp. 913-944. ISSN 1095-0761. https://resolver.caltech.edu/CaltechAUTHORS:MIKatmp07
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF
See Usage Policy. 621kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:MIKatmp07
Abstract
We discuss basic properties of the Bäcklund transformations for the classical string in AdS space in the context of the null-surface perturbation theory. We explain the relation between the Bäcklund transformations and the energy shift of the dual field theory state. We show that the Bäcklund 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 Bäcklund transformations known as spectrality. We also discuss the plane wave limit.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||
| Additional Information: | 2007 © International Press of Boston. I want to thank N. Beisert, C. Nappi, A. Rosly, A. Tseytlin and K. Zarembo for useful discussions, and especially G. Arutyunov for the correspondence and for calling my attention to [18]. This research was supported by the Sherman Fairchild Fellowship and in part by the RFBR Grant No. 03-02-17373 and in part by the Russian Grant for the support of the scientific schools NSh-1999.2003.2. e-print archive: http://arXiv.org/abs/arXiv:hep-th/0507261 | ||||||
| Issue or Number: | 6 | ||||||
| Record Number: | CaltechAUTHORS:MIKatmp07 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:MIKatmp07 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 9621 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 19 Feb 2008 | ||||||
| Last Modified: | 03 Oct 2019 00:02 |
Repository Staff Only: item control page
