A Proof of the Gaudin Bethe Ansatz Conjecture

DOI10.1093/imrn/rny245zbMath1460.37057arXiv1608.04625OpenAlexW2962947271WikidataQ123143362 ScholiaQ123143362MaRDI QIDQ5854235

Leonid Rybnikov

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04625

zbMATH Keywords

Bethe AnsatzGaudin HamiltoniansGaudin algebra

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

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Symmetrisation and the Feigin–Frenkel centre ⋮ 3-dimensional mixed BF theory and Hitchin's integrable system ⋮ Shift of argument algebras and de Concini–Procesi spaces ⋮ Gaudin Hamiltonians on unitarizable modules over classical Lie (super)algebras ⋮ Gaudin model and Deligne's category ⋮ Completeness of the Bethe Ansatz for the Periodic Isotropic Heisenberg Model ⋮ On the Gaudin model of type G₂ ⋮ Perfect integrability and Gaudin models ⋮ Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras ⋮ The solutions of \(\mathfrak{gl}_{M|N}\) Bethe ansatz equation and rational pseudodifferential operators ⋮ Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations

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