Quantization of Lax integrable systems and Conformal Field Theory

Abstract

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.

11 pages, 2 figures. Based on the talk at the conference "Homotopy algebras, deformation theory and quantization", S.Banach International Mathematical Center, Bedlewo, Poland, 2018