A. Silantyev

  1. Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin model.

    Authors: V. Rubtsov, A. Silantyev, D. Talalaev
    Subjects: Mathematical Physics
    Abstract

    In this paper we construct the quantum spectral curve for the quantum
    dynamical elliptic gl(n) Gaudin model. We realize it considering a commutative
    family corresponding to the Felder's elliptic quantum group and taking the
    appropriate limit. The approach of Manin matrices here suits well to the
    problem of constructing the generation function of commuting elements which
    plays an important role in SoV and Langlands concept.

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