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

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine