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  Linking Bäcklund and monodromy charges for strings on AdS5 x S5

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E05-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4E07-D
Genre: Journal Article

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jhep072005026.pdf (Publisher version), 321KB
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 Creators:
Arutyunov, Gleb1, Author
Zamaklar, Marija1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 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.

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Language(s): eng - English
 Dates: 2005-07
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 250908
ISI: 000230854400052
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Title: Journal of High Energy Physics
  Alternative Title : J. High Energy Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 2005 (7) Sequence Number: 026 Start / End Page: - Identifier: ISSN: 1126-6708