Quantum group symmetry of integrable models on the half-line

Details Quantum group symmetry of integrable models on the half-line Quantum group symmetry of integrable models on the half-line

2002-12-25

arxiv.org/abs/hep-th/0212300v1

Physics

High Energy Physics

High Energy Physics - Theory

Contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002, 11 pag

Scientific paper

This contribution to the Proceedings of the Workshop on Integrable Theories, Solitons and Duality in Sao Paulo in July 2002 summarizes results from the papers hep-th/0112023 and math.QA/0208043. 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 known method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation.

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