Novikov-Veselov Symmetries of the Two-Dimensional ( ) Sigma Model

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Krichever, Igor, Nekrasov, Nikita
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211539
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Novikov-Veselov Symmetries of the Two-Dimensional ( ) Sigma Model. Igor Krichever and Nikita Nekrasov. SIGMA 18 (2022), 006, 37 pages

We show that the Novikov-Veselov hierarchy provides a complete family of commuting symmetries of the two-dimensional ( ) sigma model. In the first part of the paper, we use these symmetries to prove that the Fermi spectral curve for the double-periodic sigma model is algebraic. Thus, our previous c...