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Classically integrable boundary conditions for symmetric-space sigma models

MacKay, N.J. and Young, C.A.S. (2004) Classically integrable boundary conditions for symmetric-space sigma models. Physics Letters B, 588 ( 3-4). pp. 221-227. ISSN 0370-2693

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We investigate boundary conditions for the non-linear sigma model on the compact symmetric space G/H. The Poisson brackets and the classical local conserved charges necessary for integrability are preserved by boundary conditions which correspond to involutions which commute with the involution defining H. Applied to SO(3)/SO(2), the non-linear sigma model on S2, these yield the great circles as boundary submanifolds. Applied to G×G/G, they reproduce known results for the principal chiral model.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 09 Mar 2009 08:29
Last Modified: 09 Mar 2009 08:29
Published Version: http://dx.doi.org/10.1016/j.physletb.2004.03.037
Status: Published
Publisher: Elsevier
Identification Number: 10.1016/j.physletb.2004.03.037
URI: http://eprints.whiterose.ac.uk/id/eprint/7281

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