KNIZHNIK–ZAMOLODCHIKOV–BERNARD EQUATIONS CONNECTED WITH THE EIGHT-VERTEX MODEL

DOI10.1142/S0217751X99000300zbMath0932.82016arXivsolv-int/9804015OpenAlexW2998775688MaRDI QIDQ4261921

A. Lima-Santos, R. H. Poghossian, Hrachya M. Babujian

Publication date: 30 September 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9804015

zbMATH Keywords

integral representationgauge transformationKnizhnik-Zamolodchikov equationeight-vertex modeloff-shell Bethe ansatz

Mathematics Subject Classification ID

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

Related Items (6)

\(\text{sl}(2| 1)^{(2)}\) Gaudin magnet and its associated Knizhnik--Zamolodchikov equation ⋮ Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets ⋮ On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain ⋮ osp(1|2) off-shell Bethe ansatz equation with boundary terms ⋮ GAUDIN MAGNET WITH IMPURITY AND ITS GENERALIZED KNIZHNIK–ZAMOLODCHIKOV EQUATION ⋮ Elliptic Gaudin models and elliptic KZ equations

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Current algebras and Wess-Zumino model in two dimensions
• Integral solutions of trigonometric Knizhnik-Zamolodchikov equations and Kac-Moody algebras
• Arrangements of hyperplanes and Lie algebra homology
• Algebraic Bethe ansatz for the \(XYZ\) Gaudin model
• OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• OPERATOR ALGEBRA IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY CONTAINING SPIN 4/3 “PARAFERMIONIC” CONSERVED CURRENTS
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Off-shell Bethe ansatz for the XXZ vertex model and solution of the trigonometric Knizhnik-Zamolodchikov equations
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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