3 papers
math-ph2020
Characteristic determinant and Manakov triple for the double elliptic integrable system
A. Grekov, A. Zotov
Using the intertwining matrix of the IRF-Vertex correspondence we propose a determinant representation for the generating function of the commuting Hamiltonians of the double ellip…
math-ph2019
Generalized model of interacting integrable tops
A. Grekov, I. Sechin, A. Zotov
We introduce a family of classical integrable systems describing dynamics of interacting integrable tops. It extends the previously known model of interacting elli…
math-ph2018
Supersymmetric extension of qKZ-Ruijsenaars correspondence
A. Grekov, A. Zabrodin, A. Zotov
We describe the correspondence of the Matsuo-Cherednik type between the quantum -body Ruijsenaars-Schneider model and the quantum Knizhnik-Zamolodchikov equations related to sup…