\(\text{osp}(1|2)\) off-shell Bethe ansatz equations

DOI10.1016/S0550-3213(98)00861-XzbMath0973.82016arXivsolv-int/9809003OpenAlexW2092723155MaRDI QIDQ1571981

A. Lima-Santos

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9809003

zbMATH Keywords

spectrumGaudin model

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Off-shell Bethe ansatz equation for \(\text{osp}(2|1)\) Gaudin magnets ⋮ GAUDIN MAGNET WITH IMPURITY AND ITS GENERALIZED KNIZHNIK–ZAMOLODCHIKOV EQUATION

Cites Work

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• Structure constants for the \(\text{osp}(1|2)\) current algebra
• Current algebras and Wess-Zumino model in two dimensions
• Arrangements of hyperplanes and Lie algebra homology
• Generating function of correlators in the \(sl_2\) Gaudin model
• Gaudin model, Bethe ansatz and critical level
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• The exact solution and the finite-size behaviour of the Osp\((1| 2)\)-invariant spin chain
• Matrix difference equations and a nested Bethe ansatz
• On integrable models related to the osp(1,2) Gaudin algebra
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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