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Boundary scattering, symmetric spaces and the principal chiral model on the half-line

MacKay, N.J. and Short, B.J. (2003) Boundary scattering, symmetric spaces and the principal chiral model on the half-line. Communications in Mathematical Physics, 233 (2). pp. 313-354. ISSN 1432-0916

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Abstract

We investigate integrable boundary conditions (BCs) for the principal chiral model on the half-line, and rational solutions of the boundary Yang-Baxter equation (BYBE). In each case we find a connection with (type I, Riemannian, globally) symmetric spaces G/H: there is a class of integrable BCs in which the boundary field is restricted to lie in a coset of H; these BCs are parametrized by G/H×G/H; there are rational solutions of the BYBE in the defining representations of all classical G parametrized by G/H; and using these we propose boundary S-matrices for the principal chiral model, parametrized by G/H×G/H, which correspond to our boundary conditions.

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 12 Jun 2009 13:18
Last Modified: 12 Jun 2009 13:18
Published Version: http://dx.doi.org/10.1007/s00220-002-0735-y
Status: Published
Publisher: Springer Verlag
Identification Number: 10.1007/s00220-002-0735-y
URI: http://eprints.whiterose.ac.uk/id/eprint/5916

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