English

Quantization of Lax integrable systems and Conformal Field Theory

Mathematical Physics 2020-05-08 v1 Algebraic Geometry math.MP Representation 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.

Keywords

Cite

@article{arxiv.2005.03053,
  title  = {Quantization of Lax integrable systems and Conformal Field Theory},
  author = {Oleg K. Sheinman},
  journal= {arXiv preprint arXiv:2005.03053},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T15:21:51.835Z