A new solution to the reflection equation for the \(Z_n\) symmetric Belavin model

DOI10.1016/S0375-9601(98)00829-9zbMath0940.82015MaRDI QIDQ1966831

Heng Fan, Kang-jie Shi, Guang-Liang Li, Bo-Yu Hou

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

reflection equation\(Z_n\) symmetric Belavin vertex model

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Solutions of the reflection equation for the \(U_q[G_2\) vertex model], Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end, Exact solution of \(\mathbb{Z}_n\) Belavin model with open boundary condition, Multiple reference states and complete spectrum of the \(\mathbb Z_{n}\) Belavin model with open boundaries, Solution of the \(\text{SU}(N)\) vertex model with non-diagonal open boundaries, Scalar products of the open XYZ chain with non-diagonal boundary terms, Correlation functions of the \(XYZ\) model with a boundary., Gauge theory and boundary integrability. II: Elliptic and trigonometric cases

Cites Work

• Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models
• L-operator for Belavin’s R-matrix acting on the space of theta functions
• Integrable XYZ spin chain with boundaries
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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