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

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

2002-08-06

arxiv.org/abs/math/0208043v2

Lett. Math. Phys. 62 (2002) 211-217

Mathematics

Quantum Algebra

6 pages, amslatex, v2 identical to v1 with three references added

Scientific paper

10.1023/A:1022259710600

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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