Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General Boundary Terms

Abstract

We derive and classify all solutions of the boundary Yang-Baxter equation (or the reflection equation) for the 19-vertex model associated with $U_q(\widehat{s{l}_2})$. Integrable $XXZ$ spin-1 chain hamiltonian with general boundary interactions is also obtained.

14 pages, LaTeX, no figure

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Cited by in corpus (30)

• What is an integrable quench?
• Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• Reflection K-Matrices for 19-Vertex Models
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• 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
• Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms
• Solutions of the boundary Yang-Baxter equation for arbitrary spin
• Integrability of the $D_n^2$ vertex models with open boundary
• $C_n^{(1)}$, $D_n^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices
• Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
• Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
• B_{n}^{(1)} and A_{2n}^{(2)}reflection K-matrices
• Boundary quantum Knizhnik-Zamolodchikov equations and fusion
• D_{n+1}^(2) Reflection K-matrices
• Boundary matrices for the higher spin six vertex model
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
• Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• The solution of an open XXZ chain with arbitrary spin revisited
• Bethe ansatz solution of the ${\tau }_2$-model with arbitrary boundary fields
• Reflection $K$-matrices for a nineteen vertex model with $U_q[\mathrm{osp}{\left(2|2\right)}^{\left(2\right)}]$ symmetry
• Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries
• Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices
• Integrability of the Heisenberg Chains with Boundary Impurities and Their Bethe Ansatz
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• Reflection equation for the N=3 Cremmer-Gervais R-matrix
• Universal TT- and TQ-relations via centrally extended q-Onsager algebra
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms