Classical R-matrix structure for the Calogero model

Cezary Gonera

Miki Wadati, Kazuhiro Hikami, Hideaki Ujino

Oleg Chalykh, Mariya Georgievna Matushko

Marijan Mileković, Stjepan Meljanac, Andjelo Samsarov

Andrei Vladimirovich Zotov

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.

Bo-Yu Hou, Wen‐Li Yang

In this paper we construct a new Lax operator for the elliptic Calogero-Moser model with general from the classical dynamical twisting, in which the corresponding r -matrix is purely numerical (non-dynamic). The non-dynamical r -matrix structure of this Lax operator is obtained, which is the elliptic -symmetric r -matrix.