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Quantization of Lax integrable systems and conformal field theory

Volume 123 / 2021

Oleg Sheinman Banach Center Publications 123 (2021), 111-122 MSC: Primary 81T40; Secondary 14H70. DOI: 10.4064/bc123-4


We present the correspondence between Lax integrable systems with spectral parameter on a Riemann surface, and Conformal Field Theories, in quite general set-up suggested earlier by the author. This correspondence turns out to give a prequantization of the integrable systems in question.


  • Oleg SheinmanSteklov Mathematical Institute
    Russian Academy of Sciences
    Gubkina 8
    119991 Moscow, Russia

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