scientific article

zbMath0701.58063MaRDI QIDQ3479284

Jacques H. H. Perk, Helen Au-Yang

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

lattice modelsYang-Baxter equationBraid groupstar-triangle equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of global analysis to the sciences (58Z05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) 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) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (18)

Roots of unity: Representations of quantum groups ⋮ Some remarks on a generalization of the superintegrable chiral Potts model ⋮ Chiral Potts model as a descendant of the six-vertex model ⋮ The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra ⋮ The 16-vertex model and its even and odd 8-vertex subcases on the square lattice ⋮ Duality and symmetry in chiral Potts model ⋮ Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables ⋮ A characterization of rapidity curve in the chiral Potts model ⋮ A conjecture for the superintegrable chiral Potts model ⋮ Spin operator matrix elements in the superintegrable chiral Potts quantum chain ⋮ An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model ⋮ The Onsager algebra symmetry of τ^(j)-matrices in the superintegrable chiral Potts model ⋮ Mirror symmetry of elliptic curves and Ising model ⋮ Fusion for the Yang-Baxter equation and the braid group ⋮ On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models ⋮ Bethe ansatz equations for the broken \(\mathbb Z_ N\)-symmetric model. ⋮ A perturbative approach to spectrum and correlation functions of the chiral Potts model. ⋮ Free energy of the chiral Potts model in the scaling region.

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