Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5

Details Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5 Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5

2005-04-18

arxiv.org/abs/hep-th/0504144v1

JHEP 0507 (2005) 026

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure

Scientific paper

10.1088/1126-6708/2005/07/026

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 AdS_5 x S^5: the Backlund and monodromy approaches. We start by constructing the two-parameter family of Backlund 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 Backlund equations in a non-perturbative fashion, we finally show that the generating functional of the Backlund 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 Backlund transform.

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