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  Inverse Scattering and the Geroch Group

Katsimpouri, D., Kleinschmidt, A., & Virmani, A. (2013). Inverse Scattering and the Geroch Group. Journal of high energy physics: JHEP, 2013(02): 011. doi:10.1007/JHEP02(2013)011.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-232A-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-1991-B
Genre: Journal Article

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1211.3044 (Preprint), 339KB
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 Creators:
Katsimpouri, Despoina, Author
Kleinschmidt, Axel1, Author              
Virmani, Amitabh2, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We study the integrability of gravity-matter systems in D=2 spatial dimensions with matter related to a symmetric space G/K using the well-known linear systems of Belinski-Zakharov (BZ) and Breitenlohner-Maison (BM). The linear system of BM makes the group structure of the Geroch group manifest and we analyse the relation of this group structure to the inverse scattering method of the BZ approach in general. Concrete solution generating methods are exhibited in the BM approach in the so-called soliton transformation sector where the analysis becomes purely algebraic. As a novel example we construct the Kerr-NUT solution by solving the appropriate purely algebraic Riemann-Hilbert problem in the BM approach.

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 Dates: 2012-11-132013
 Publication Status: Published in print
 Pages: 30 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1211.3044
DOI: 10.1007/JHEP02(2013)011
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2013 (02) Sequence Number: 011 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002