Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps

zbMath1260.82025arXiv0907.3266MaRDI QIDQ2906442

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

Publication date: 5 September 2012

Full work available at URL: https://arxiv.org/abs/0907.3266

zbMATH Keywords

critical pointsBethe ansatzBethe algebramaster functionBethe vector averaging mapWronsky map

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Exactly solvable models; Bethe ansatz (82B23) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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Calogero-Moser eigenfunctions modulo \(p^s\) ⋮ Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety ⋮ Arrangements and Frobenius like structures ⋮ Critical points of master functions and integrable hierarchies

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