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math-ph2025
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…
math-ph2020★ 3 cited
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…
math-ph2013
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…