We construct a "spectral curve" for the generalized Toda system, which allows efficiently finding its quantization. In turn, the quantization is realized using the technique of the quantum characteristic polynomial for the Gaudin system and an appropriate Alder-Kostant-Symes reduction. We also discuss some relations of this result to the recent consideration of the Drinfeld Zastava space, the monopole space, and corresponding symmetries of the Borel Yangian.
机构:
Xiamen Univ Malaysia, Dept Math, Jalan Sunsuria, Sepang 43900, Selangor Darul, MalaysiaXiamen Univ Malaysia, Dept Math, Jalan Sunsuria, Sepang 43900, Selangor Darul, Malaysia
Ong, Darren C.
Remling, Christian
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机构:
Univ Oklahoma, Dept Math, Norman, OK 73019 USAXiamen Univ Malaysia, Dept Math, Jalan Sunsuria, Sepang 43900, Selangor Darul, Malaysia