Advances in Theoretical and Mathematical Physics

Volume 11 (2007)

Number 6

Bäcklund transformations, energy shift and the plane wave limit

Pages: 913 – 944

DOI: http://dx.doi.org/10.4310/ATMP.2007.v11.n6.a1

Author

Andrei Mikhailov

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 B¨acklund transformations and the energy shift of the dual field theory state. We show that the B¨acklund 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.

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