Frobenius-like structure in Gaudin model

DOI10.1142/S0129167X22500525zbMath1492.53099arXiv2201.03087OpenAlexW4224311067MaRDI QIDQ5093595

Alexander Varchenko, Evgenii E. Mukhin

Publication date: 28 July 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.03087

zbMATH Keywords

Gaudin HamiltoniansShapovalov formpotentials of first and second kind

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

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• Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra
• Quantum integrable model of an arrangement of hyperplanes
• Arrangements of hyperplanes and Lie algebra homology
• Arrangements and Frobenius like structures
• Perfect integrability and Gaudin models
• Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
• Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$
• Schubert calculus and representations of the general linear group
• POTENTIALS OF A FROBENIUS-LIKE STRUCTURE
• On axioms of frobenius like structure in the theory of arrangements
• Potentials of a family of arrangements of hyperplanes and elementary subarrangements