7 citations · 18 across the 6 of their papers we have counts for
6 papers
Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
D. Domanevsky, A. Zotov
We describe a family of 1+1 classical integrable space-discrete models of the Landau-Lifshitz type through the usage of ansatz for - (Lax) pair with spectral parameter satisf…
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…
On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion
A. Zotov
The Lax pair for the field analogue of the classical spin elliptic Calogero-Moser is proposed. Namely, using the previously known Lax matrix we suggest an ansatz for the accompany…
Generalizations of parabolic Higgs bundles, real structures and integrability
Andrey Levin, Mikhail Olshanetsky, Andrei Zotov
We introduce a notion of quasi-antisymmetric Higgs -bundles over curves with marked points. They are endowed with additional structures, which replace the parabolic structures a…
Painleve Field Theory
G. Aminov, S. Arthamonov, A. Levin +2
We propose multidimensional versions of the Painlevé VI equation and its degenerations. These field theories are related to the isomonodromy problems of flat holomorphic infinite r…
Quadratic algebras related to elliptic curves
Yu. Chernyakov, A. M. Levin, M. Olshanetsky +1
We construct quadratic finite-dimensional Poisson algebras and their quantum versions related to rank N and degree one vector bundles over elliptic curves with n marked points. The…