Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modern Physics Letters A

Integrable $A^{(1)}_{n-1}$ IRF Model with Reflecting Boundary Conditions

Heng Fan, Bo-Yu Hou, Guang-Liang Li, Kangjie Shi

Published Aug 30, 1997• 11 citations
Publisher

Abstract

By using the intertwiners of Zn symmetric vertex model and [Formula: see text] IRF model, we find explicitly the dual reflection equation for [Formula: see text] IRF model. The integrability of the [Formula: see text] IRF model with reflecting boundary conditions is proved.
DOI
10.1142/s0217732397001977

Related papers

Integrable Boundary Conditions Associated with the Zn × Zn Belavin Model and Solutions of Reflection Equation

Heng Fan, Kangjie Shi, Bo-Yu Hou +1 more

We construct solvable models with nontrivial boundary from the well known Belavin R-matrix. The reflection equation for the boundary reflection matrix is studied and the complete solution for the one associated with the eight-vertex model is found.

International Journal of Modern Physics A•Jun 30, 1997•7 citations

Yang-Baxter equation and reflection equations in integrable models

P. P. Kulish

The definitions of the main notions related to the quantum inverse scattering methods are given. The Yang-Baxter equation and reflection equations are derived as consistency conditions for the factorizable scattering on the whole line and on the half-line using the Zamolodchikov-Faddeev algebra. Due to the vertex-IRF model correspondence the face model analogue of the ZF-algebra and the IRF reflection equation are written down as well as the Z2-graded and colored algebra forms of the YBE and RE.

•Jan 30, 2013•39 citations

Boundary K-matrices for the six vertex and the n(2n-1)An-1vertex models

Hector J. de Vega, Amanda Ruiz

Boundary conditions compatible with integrability are obtained for two-dimensional models by solving the factorizability equations for the reflection matrices K +or- ( theta ). For the six vertex model the general solution depending on four arbitrary parameters is found. For the A n-1 models all diagonal solutions are found. The associated integrable magnetic Hamiltonians are explicitly derived.

arXiv:hep-th/9211114•Journal of Physics A Mathematical and General•Jun 21, 1993•237 citations

A remark on solutions of reflection equation for the critical ZN-symmetric vertex model

Yuji Yamada

We consider solutions to the reflection equation for the critical Z N -symmetric vertex model, which is the trigonometric limit of the elliptic Z N -symmetric R -matrix of Belavin. These critical R -matrices have two parameters u and η. The transfer matrices constructed from this R -matrix R ( u , η) under the cyclic boundary condition are commutative among different u when η is in common, . We prove that an arbitrary solution to the reflection equation is independent of the parameter η.

Journal of Physics A Mathematical and General•Dec 15, 2003•2 citations

Determinant formula for the six-vertex model with reflecting end

Osamu Tsuchiya

Using the Quantum Inverse Scattering Method for the XXZ model with open boundary conditions, we obtained the determinant formula for the six vertex model with reflecting end.

•Jan 1, 1998•65 citations

Determinant formula for the six-vertex model with reflecting end

Osamu Tsuchiya

Using the quantum inverse scattering method for the XXZ model with open boundary conditions, we obtained the determinant formula for the six-vertex model with reflecting end.

arXiv:solv-int/9804010•Journal of Mathematical Physics•Nov 1, 1998•96 citations
Integrable An−1(1)A^{(1)}_{n-1}An−1(1)​ IRF Model with Reflecting Boundary Conditions