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arXiv · 2404.01898

Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model

A. Zotov
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Abstract

We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal $r$-matrix structures.

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A. Zotov. 2024-04-02. Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model. https://doi.org/10.1088/1751-8121/ad5ee1

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