11 citations · 12 across the 2 of their papers we have counts for
7 papers · 1 filter
Multi-pole extension for elliptic models of interacting integrable tops
E. Trunina, A. Zotov
We review and give detailed description for Gaudin models related to holomorphic vector bundles of rank and degree over elliptic curve with punctures.…
Odd supersymmetric Kronecker elliptic function and Yang-Baxter equations
A. Levin, M. Olshanetsky, A. Zotov
We introduce an odd supersymmetric version of the Kronecker elliptic function. It satisfies the genus one Fay identity and supersymmetric version of the heat equation. As an applic…
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…
Trigonometric integrable tops from solutions of associative Yang-Baxter equation
T. Krasnov, A. Zotov
We consider a special class of quantum non-dynamical -matrices in the fundamental representation of with spectral parameter given by trigonometric solutions of the…
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 factorized Lax pairs for classical many-body integrable systems
M. Vasilyev, A. Zotov
In this paper we study factorization formulae for the Lax matrices of the classical Ruijsenaars-Schneider and Calogero-Moser models. We review the already known results and discuss…