Browsing by Subject "Shapovalov form"

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    Frobenius-like structure in Gaudin model
    (World Scientific, 2022-06) Mukhin, Evgeny; Varchenko, Alexander; Mathematical Sciences, School of Science
    We introduce a Frobenius-like structure for the 𝔰𝔩2 Gaudin model. Namely, we introduce potential functions of the first and second kind. We describe the Shapovalov form in terms of derivatives of the potential of the first kind and the action of Gaudin Hamiltonians in terms of derivatives of the potential of the second kind.