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December 2007 Bäcklund transformations, energy shift and the plane wave limit
Andrei Mikhailov
Adv. Theor. Math. Phys. 11(6): 913-944 (December 2007).


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.


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Andrei Mikhailov. "Bäcklund transformations, energy shift and the plane wave limit." Adv. Theor. Math. Phys. 11 (6) 913 - 944, December 2007.


Published: December 2007
First available in Project Euclid: 19 December 2007

zbMATH: 1218.83035
MathSciNet: MR2368939

Rights: Copyright © 2007 International Press of Boston


Vol.11 • No. 6 • December 2007
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