English

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

Quantum Algebra 2007-09-11 v2

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.

Keywords

Cite

@article{arxiv.math/0208043,
  title  = {Quantum affine reflection algebras of type d_n^(1) and reflection matrices},
  author = {Gustav W. Delius and Alan George},
  journal= {arXiv preprint arXiv:math/0208043},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:47:00.388Z