Generalized model of interacting integrable tops

Journal of High Energy Physics

A. Grekov¹  I. Sechin¹  A. Zotov¹ 

[1] Steklov Mathematical Institute of Russian Academy of Sciences;

关键词: Lattice Integrable Models;    Matrix Models;    Differential and Algebraic Geometry;   

DOI  :  10.1007/JHEP10(2019)081

来源: DOAJ

【 摘 要 】

Abstract We introduce a family of classical integrable systems describing dynamics of M interacting gl N integrable tops. It extends the previously known model of interacting elliptic tops. Our construction is based on the GL N R-matrix satisfying the associative Yang-Baxter equation. The obtained systems can be considered as extensions of the spin type Calogero-Moser models with (the classical analogues of) anisotropic spin exchange operators given in terms of the R-matrix data. In N = 1 case the spin Calogero-Moser model is reproduced. Explicit expressions for gl NM -valued Lax pair with spectral parameter and its classical dynamical r-matrix are obtained. Possible applications are briefly discussed.

【 授权许可】

Unknown