Opers on the projective line, Wronskian relations, and the Bethe Ansatz

DOI10.1016/J.GEOMPHYS.2024.105222zbMATH Open1547.8201MaRDI QIDQ6564585

Ty J. Brinson, Daniel S. Sage, Anton M. Zeitlin

Publication date: 1 July 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Gaudin modelgeometric Langlands correspondenceopers

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. II: The non simply-laced case
• Opers with irregular singularity and spectra of the shift of argument subalgebra
• Quantum \(K\)-theory of quiver varieties and many-body systems
• Baxter's relations and spectra of quantum integrable models
• Gaudin model, Bethe ansatz and critical level
• Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers
• Baxter \(Q\)-operator from quantum \(K\)-theory
• Miura opers and critical points of master functions
• Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. I: The simply-laced case
• Gaudin models with irregular singularities
• Asymptotic representations and Drinfeld rational fractions
• TOROIDAL q-OPERS
• 3D mirror symmetry for instanton moduli spaces
• \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz

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