\(\text{sl}(2| 1)^{(2)}\) Gaudin magnet and its associated Knizhnik--Zamolodchikov equation

DOI10.1016/j.nuclphysb.2004.09.022zbMath1198.82022arXivnlin/0406025OpenAlexW3021051233MaRDI QIDQ874468

V. Kurak, A. Lima-Santos

Publication date: 10 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0406025

zbMATH Keywords

Bethe ansatzGaudin magnets

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (9)

Rational \(so(3)\) Gaudin model with general boundary terms ⋮ Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary ⋮ Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model ⋮ Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model ⋮ Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: compact and non-compact applications ⋮ Jordanian deformation of the open \(s\ell(2)\) Gaudin model ⋮ osp(1|2) off-shell Bethe ansatz equation with boundary terms ⋮ GAUDIN MAGNET WITH IMPURITY AND ITS GENERALIZED KNIZHNIK–ZAMOLODCHIKOV EQUATION ⋮ TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS

Cites Work

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• 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 structure of tensor superoperators for the super-rotation algebra. II
• Equation of state for directed percolation
• KNIZHNIK–ZAMOLODCHIKOV–BERNARD EQUATIONS CONNECTED WITH THE EIGHT-VERTEX MODEL
• 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
• Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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