Bäcklund transformations, energy shift and the plane wave limit

Creators: Mikhailov, Andrei

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.

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

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