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

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.

26 pages, some comments and Appendix added

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Cited by in corpus (4)

• On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion
• Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model
• Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
• Elliptic Ruijsenaars-Toda and elliptic Toda chains: classical r-matrix structure and relation to XYZ chain