Gauge Equivalence Between 1 + 1 Rational Calogero–Moser Field Theory and Higher Rank Landau–Lifshitz Equation.

Autor: Atalikov, K., Zotov, A.
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Zdroj: JETP Letters; Apr2023, Vol. 117 Issue 8, p630-634, 5p
Abstrakt: In this paper we study 1 + 1 field generalization of the rational N-body Calogero–Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau–Lifshitz equation. The latter equation is described in terms of rational R-matrix, which turns into the 11-vertex R-matrix in the case. The rational R-matrix satisfies the associative Yang–Baxter equation, which underlies construction of the Lax pair for the Zakharov–Shabat equation. The field analogue of the IRF-Vertex transformation is proposed. It allows to compute explicit change of variables between the field Calogero–Moser model and the Landau–Lifshitz equation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index