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- W3174144893 abstract "We show that Novikov-Veselov hierarchy provides a complete family of commuting symmetries of two-dimensional O(N) 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 construction of the complexified harmonic maps in the case of irreducible Fermi curves is complete. In the second part of the paper we generalize our construction to the case of reducible Fermi curves and show that it gives the conformal harmonic maps to even-dimensional spheres. Remarkably, the solutions are parameterized by spectral curves of turning points of the elliptic Calogero-Moser system." @default.
- W3174144893 created "2021-07-05" @default.
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- W3174144893 date "2022-01-24" @default.
- W3174144893 modified "2023-09-25" @default.
- W3174144893 title "Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model" @default.
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- W3174144893 doi "https://doi.org/10.3842/sigma.2022.006" @default.
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