Non-diagonal solutions of the reflection equation for the trigonometric $A_{n-1}^{(1)}$ vertex model

Abstract

We obtain a class of non-diagonal solutions of the reflection equation for the trigonometric $A_{n-1}^{(1)}$ vertex model. The solutions can be expressed in terms of intertwinner matrix and its inverse, which intertwine two trigonometric R-matrices. In addition to a {\it discrete} (positive integer) parameter $l$, $1\le l\le n$, the solution contains $n+2$ {\it continuous} boundary parameters.

Latex file, 14 pages; V2, minor typos corrected and a reference added

References in corpus (3)

• Exact solution of the XXZ Gaudin model with generic open boundaries
• Solution of the SU(N) Vertex Model with Non-Diagonal Open Boundaries
• Exact solution of the $A_{n-1}^{(1)}$ trigonometric vertex model with non-diagonal open boundaries

Cited by in corpus (20)

• Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
• $T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms
• From affine Hecke algebras to boundary symmetries
• $A_{n-1}$ Gaudin model with open boundaries
• Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Exact solution of the $A_{n-1}^{(1)}$ trigonometric vertex model with non-diagonal open boundaries
• The generalized non-linear Schrodinger model on the interval
• Integrable boundary conditions and modified Lax equations
• Boundary Lax pairs for the $A_n^{(1)}$ Toda field theories
• Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• $A_n^{(1)}$ affine Toda field theories with integrable boundary conditions revisited
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
• New reflection matrices for the U_q(gl(m|n)) case
• Gauge Theory and Boundary Integrability II: Elliptic and Trigonometric Case
• Generalized Landau-Lifshitz models on the interval
• Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms