Work

Generalized model of interacting integrable tops

Year: 2019

Type: article

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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2019)081

Authors: A. Grekov, I. Sechin, A. Zotov

Institutions: Skolkovo Institute of Science and Technology, Moscow Institute of Physics and Technology, Steklov Mathematical Institute, Institute for Theoretical and Experimental Physics, National Research University Higher School of Economics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Russian Foundation for Basic Research, National Research University Higher School of Economics

Awards: G1148188478, G197055748, G2226224104, G4711892333, G8115176084