Off-shell Bethe ansatz for the XXZ vertex model and solution of the trigonometric Knizhnik-Zamolodchikov equations

DOI10.1088/0305-4470/27/23/018zbMath0840.17028OpenAlexW2026793992MaRDI QIDQ4874846

Hrachya M. Babujian

Publication date: 28 April 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/23/018

zbMATH Keywords

trigonometric Knizhnik-Zamolodchikov equationquantum Knizhnik-Zamolodchikov equationquasiclassical limitoff-shell Bethe ansatzwavevectorinhomogeneous \(XXZ\) vertex model

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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KNIZHNIK–ZAMOLODCHIKOV–BERNARD EQUATIONS CONNECTED WITH THE EIGHT-VERTEX MODEL ⋮ \(\text{sl}(2| 1)^{(2)}\) Gaudin magnet and its associated Knizhnik--Zamolodchikov equation ⋮ Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: compact and non-compact applications ⋮ Generalized Knizhnik-Zamolodchikov equations, off-shell Bethe ansatz and non-skew-symmetric classical \(r\)-matrices ⋮ Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets ⋮ A fractional order derivative based active contour model for inhomogeneous image segmentation

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