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Journal Article

Linking Bäcklund and monodromy charges for strings on AdS5 x S5

MPS-Authors

Arutyunov,  Gleb
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Zamaklar,  Marija
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jhep072005026.pdf
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Citation

Arutyunov, G., & Zamaklar, M. (2005). Linking Bäcklund and monodromy charges for strings on AdS5 x S5. Journal of High Energy Physics, 2005(7): 026.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4E05-2
Abstract
We find an explicit relation between the two known ways of generating an infinite set of local conserved charges for the string sigma model on AdS5 × S5: the Bäcklund and monodromy approaches. We start by constructing the two-parameter family of Bäcklund transformations for the string with an arbitrary world-sheet metric. We then show that only for a special value of one of the parameters the solutions generated by this transformation are compatible with the Virasoro constraints. By solving the Bäcklund equations in a non-perturbative fashion, we finally show that the generating functional of the Bäcklund conservation laws is equal to a certain sum of the quasi-momenta. The positions of the quasi-momenta in the complex spectral plane are uniquely determined by the real parameter of the Bäcklund transform.