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Quantum Group Symmetry in sine-Gordon and Affine Toda Field Theories on the Half-Line

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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).

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Authors and Affiliations

  1. Department of Mathematics, University of York, York YO10 5DD, U.K. E-mail: gwd2, nm15@york.ac.uk, , , , , , GB

    G.W. Delius & N.J. MacKay

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  1. G.W. Delius
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  2. N.J. MacKay
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Received: 10 December 2001 / Accepted: 7 October 2002 Published online: 19 December 2002

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Delius, G., MacKay, N. Quantum Group Symmetry in sine-Gordon and Affine Toda Field Theories on the Half-Line. Commun. Math. Phys. 233, 173–190 (2003). https://doi.org/10.1007/s00220-002-0758-4

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  • DOI: https://doi.org/10.1007/s00220-002-0758-4

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