Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets

DOI10.1016/S0550-3213(00)00752-5zbMath0974.82010arXivnlin/0008002OpenAlexW3105702435MaRDI QIDQ5935159

Wagner Utiel, A. Lima-Santos

Publication date: 20 June 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0008002

zbMATH Keywords

Hamiltonian spectrasemi-classical limittrigonometric Knizhnik-Zamolodchikov equation

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

Rational \(so(3)\) Gaudin model with general boundary terms ⋮ Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary ⋮ \(\text{sl}(2| 1)^{(2)}\) Gaudin magnet and its associated Knizhnik--Zamolodchikov equation ⋮ 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 ⋮ Creation operators and Bethe vectors of the osp(1|2) Gaudin model ⋮ osp(1|2) off-shell Bethe ansatz equation with boundary terms ⋮ GAUDIN MAGNET WITH IMPURITY AND ITS GENERALIZED KNIZHNIK–ZAMOLODCHIKOV EQUATION ⋮ Algebraic Bethe ansatz for deformed Gaudin model ⋮ s l 2 Gaudin model with jordanian twist ⋮ TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS

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• 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
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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