19 citations · 55 across the 5 of their papers we have counts for
5 papers
On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta
A. Grekov, A. Zotov
The infinite number of particles limit in the dual to elliptic Ruijsenaars model (coordinate trigonometric degeneration of quantum double elliptic model) is proposed using the Naza…
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…
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…
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…
On R-matrix valued Lax pairs for Calogero-Moser models
A. Grekov, A. Zotov
The article is devoted to the study of -matrix-valued Lax pairs for -body (elliptic) Calogero-Moser models. Their matrix elements are given by quantum $…