Quantum group symmetry of integrable models on the half-line

Gustav W. Delius, Alan George

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We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line. They generate new kinds of symmetry algebras that are coideals of the usual quantum groups. We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation. We describe how this method for finding solutions to the reflection equation parallels the previously know method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation.

Original languageEnglish
JournalProceedings of Science
Publication statusPublished - 1 Jan 2002
Event2002 Workshop on Integrable Theories, Solitons and Duality, UNESP 2002 - Sao Paulo, Brazil
Duration: 1 Jul 20026 Jul 2002

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