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Quantum affine reflection algebras of type d_n^(1) and reflection matrices

Gustav W. Delius·Alan George
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Abstract

Quantum affine reflection algebras are coideal subalgebras of quantum affine algebras that lead to trigonometric reflection matrices (solutions of the boundary Yang-Baxter equation). In this paper we use the quantum affine reflection algebras of type d_n^(1) to determine new n-parameter families of non-diagonal reflection matrices. These matrices describe the reflection of vector solitons off the boundary in d_n^(1) affine Toda field theory. They can also be used to construct new integrable vertex models and quantum spin chains with open boundary conditions.

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BibTeXRIS

Gustav W. Delius, Alan George. 2002-08-21. Quantum affine reflection algebras of type d_n^(1) and reflection matrices. https://doi.org/10.1023/a%3A1022259710600

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