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  Integrable properties of sigma-models with non-symmetric target spaces

Bykov, D. (2015). Integrable properties of sigma-models with non-symmetric target spaces. Nuclear Physics B, 894, 254-267. doi:10.1016/j.nuclphysb.2015.03.005.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-6378-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-129D-8
Genre: Journal Article

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1412.3746.pdf (Preprint), 2MB
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 Creators:
Bykov, Dmitri1, Author              
Affiliations:
1Quantum 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,Mathematics, Differential Geometry, math.DG
 Abstract: It is well-known that sigma-models with symmetric target spaces are classically integrable. At the example of the model with target space the flag manifold U(3)/U(1)^3 -- a non-symmetric space -- we show that the introduction of torsion allows to cast the equations of motion in the form of a zero-curvature condition for a one-parametric family of connections, which can be a sign of integrability of the theory. We also elaborate on geometric aspects of the proposed model.

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 Dates: 2014-12-112015
 Publication Status: Published in print
 Pages: 8 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1412.3746
DOI: 10.1016/j.nuclphysb.2015.03.005
 Degree: -

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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 894 Sequence Number: - Start / End Page: 254 - 267 Identifier: ISSN: 0550-3213
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925564667