20 citations · 112 across the 12 of their papers we have counts for
21 papers
Gauge equivalence between 1+1 rational Calogero-Moser field theory and higher rank Landau-Lifshitz equation
K. Atalikov, A. Zotov
In this paper we study 1+1 field generalization of the rational -body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau…
Higher rank generalization of 11-vertex rational R-matrix: IRF-Vertex relations and associative Yang-Baxter equation
K. Atalikov, A. Zotov
We study rational -matrix, which turns into the 11-vertex -matrix in the case. First, we describe its relations to dynamical and semi-dynamical -matrice…
On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators
M. Matushko, A. Zotov
We propose and prove a set of identities for elliptic -matrix (in the fundamental representation). In the scalar case () these are elliptic function identities…
Higher rank 1+1 integrable Landau-Lifshitz field theories from associative Yang-Baxter equation
K. Atalikov, A. Zotov
We propose a construction of 1+1 integrable Heisenberg-Landau-Lifshitz type equations in the case. The dynamical variables are matrix elements of matrix $S…
Lax equations for relativistic Gaudin models on elliptic curve
E. Trunina, A. Zotov
We describe the most general classical elliptic finite-dimensional integrable system, which Lax matrix has simple poles on elliptic curve. For it reproduc…
2d Integrable systems, 4d Chern-Simons theory and Affine Higgs bundles
A. Levin, M. Olshanetsky, A. Zotov
In this short review we compare constructions of 2d integrable models by means of two gauge field theories. The first one is the 4d Chern-Simons (4d-CS) theory proposed by Costello…