Classically integrable boundary conditions for symmetric-space sigma models

N J MacKay; C A S Young

doi:10.1016/j.physletb.2004.03.037

Classically integrable boundary conditions for symmetric-space sigma models

N J MacKay, C A S Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 S-2, these yield the great circles as boundary submanifolds. Applied to G x G/G, they reproduce known results for the principal chiral model. (C) 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	221-227
Number of pages	7
Journal	Physics Letters B
Volume	588
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2004.03.037
Publication status	Published - 27 May 2004

Keywords

HALF-LINE
MATRICES

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10.1016/j.physletb.2004.03.037

http://dx.doi.org/10.1016/j.physletb.2004.03.037

Cite this

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AB - 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 S-2, these yield the great circles as boundary submanifolds. Applied to G x G/G, they reproduce known results for the principal chiral model. (C) 2004 Elsevier B.V. All rights reserved.

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