110 citations · 508 across the 30 of their papers we have counts for
30 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…
Families of Kuramoto models and bounded symmetric domains
M. Olshanetsky
We define the families of Kuramoto models (KM) related to bounded symmetric domains. The families include the Lohe unitary model and the spherical models as special cases. Our appr…
Two types of Witten zeta functions
Andrey Levin, Mikhail Olshanetsky
We define two types of Witten's zeta functions according to Cartan's classification of compact symmetric spaces. The type II is the original Witten zeta function constructed by mea…
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…
Integrable extensions of classical elliptic integrable systems
M. Olshanetsky
In this article we consider two particular examples of general construction proposed in arXiv:2012.15529. We consider the integrable extensions of the classical elliptic Calogero-M…
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…