On a new form of Bethe ansatz equations and separation of variables in the \( \mathfrak{sl}_3\) Gaudin model

DOI10.1134/S0081543807030121zbMath1154.82308arXivmath/0609428OpenAlexW1783980041MaRDI QIDQ2377573

Vadim Schechtman, Evgenii E. Mukhin, Alexander Varchenko, Vitaly O. Tarasov

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609428

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

New formula for the eigenvectors of the Gaudin model in the \(\operatorname{sl}(3)\) case

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