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Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

Delius, G.W. and MacKay, N.J. (2003) Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line. Communications in Mathematical Physics, 233 (1). pp. 173-190. ISSN 1432-0916

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Abstract

We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (ĝ).

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 12 Jun 2009 10:42
Last Modified: 12 Jun 2009 10:42
Published Version: http://dx.doi.org/10.1007/s00220-002-0758-4
Status: Published
Publisher: Springer Verlag
Identification Number: 10.1007/s00220-002-0758-4
URI: http://eprints.whiterose.ac.uk/id/eprint/5920

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