11 citations · 12 across the 2 of their papers we have counts for
9 papers
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.…
Quadratic algebras based on SL(NM) elliptic quantum R-matrices
I. A. Sechin, A. V. Zotov
We construct quadratic quantum algebra based on the dynamical RLL-relation for the quantum -matrix related to -bundles with nontrivial characteristic class over elliptic…
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…
GL(NM) quantum dynamical -matrix based on solution of the associative Yang-Baxter equation
I. Sechin, A. Zotov
In this letter we construct -valued dynamical -matrix by means of unitary skew-symmetric solution of the associative Yang-Baxter equation in the fundamental repre…
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…