58 citations · 436 across the 21 of their papers we have counts for
21 papers
Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation
D. Domanevsky, A. Levin, M. Olshanetsky +1
We describe deformations of the classical principle chiral model and 1+1 Gaudin model related to Lie group. The deformations are generated by -matrices satisfying t…
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…
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…
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types spins
S. Kharchev, A. Levin, M. Olshanetsky +1
We define the quasi-compact Higgs -bundles over singular curves introduced in our previous paper for the Lie group SL(). The quasi-compact structure means that th…
Calogero-Sutherland system with two types interacting spins
S. Kharchev, A. Levin, M. Olshanetsky +1
We consider the classical Calogero-Sutherland system with two types of interacting spin variables. It can be reduced to the standard Calogero-Sutherland system, when one of the spi…
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painleve VI equation
A. Levin, M. Olshanetsky, A. Zotov
In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on -matrix description which provides Lax pairs in te…