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

DOI10.1142/S0217732397001977zbMath0908.58027WikidataQ62388815 ScholiaQ62388815MaRDI QIDQ4212032

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

Publication date: 21 October 1998

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

zbMATH Keywords

Heisenberg spin chainreflection equationIRF modelnonperiodic boundary conditionsexactly solvable lattice modelssymmetric vertex model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

A new dynamical reflection algebra and related quantum integrable systems, Quantization and dynamisation of trace-Poisson brackets, Solution of the dual reflection equation for An−1(1) solid-on-solid model, Spin chains from dynamical quadratic algebras, Commuting quantum traces for quadratic algebras

Cites Work

• Solvable lattice models related to the vector representation of classical simple Lie algebras
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Vertex-IRF correspondence and factorized \(L\)-operators for an elliptic \(R\)-operator
• Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions
• Integrable open-boundary conditions for the \(Z_n\times Z_n\) Belavin model
• Algebras connected with the Z n elliptic solution of the Yang–Baxter equation
• L-operator for Belavin’s R-matrix acting on the space of theta functions
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction