Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model
نویسندگان
چکیده
We show that Novikov-Veselov hierarchy provides a complete family of commuting symmetries two-dimensional O(N) sigma model. In the first part paper we use these to prove Fermi spectral curve for double-periodic model is algebraic. Thus, our previous construction complexified harmonic maps in case irreducible curves complete. second generalize reducible and it gives conformal even-dimensional spheres. Remarkably, solutions are parameterized by turning points elliptic Calogero-Moser system.
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2022
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2022.006