DIFFERENCE EQUATIONS FOR THE HIGHER RANK XXZ MODEL WITH A BOUNDARY

DOI10.1142/S0217751X00001816zbMath0988.82013arXivnlin/0001038MaRDI QIDQ2710896

Yas-Hiro Quano, Takeo Kojima

Publication date: 2 May 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0001038

zbMATH Keywords

difference equationsvertex operator approachquantum Knizhnik-Zamolodchikov

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Difference equations, scaling ((q)-differences) (39A13) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Higher order relations for ADE-type generalized \(q\)-Onsager algebras, Boundary qKZ equation and generalized Razumov–Stroganov sum rules for open IRF models

Cites Work

• Factorizing particles on a half-line and root systems
• Quantum affine algebras and holonomic difference equations
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• Boundary ABF models
• \(XXZ\) chain with a boundary
• Difference equations in spin chains with a boundary
• Bosonization of Quantum Sine–Gordon Field with Boundary
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY