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

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.

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

References in corpus (2)

• Boundary remnant of Yangian symmetry and the structure of rational reflection matrices
• Solutions of the boundary Yang-Baxter equation for arbitrary spin

Cited by in corpus (18)

• Quantum symmetric Kac-Moody pairs
• Deformed Dolan-Grady relations in quantum integrable models
• A new current algebra and the reflection equation
• From affine Hecke algebras to boundary symmetries
• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• Universal K-matrices for quantum Kac-Moody algebras
• Boundary non-local charges from the open spin chain
• Generalized q-Onsager algebras and boundary affine Toda field theories
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Integrable boundary conditions for staggered vertex models
• A Q-operator for open spin chains I: Baxter's TQ relation
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• Central extension of the reflection equations and an analog of Miki's formula
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Tensor K-matrices for quantum symmetric pairs
• Reflection $K$ matrices associated with an Onsager coideal of $U_p(A_{n-1}^{(1)})$, $U_p(B_n^{(1)})$, $U_p(D_n^{(1)})$ and $U_p(D_{n+1}^{(2)})$
• Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain