21 citations · 34 across the 5 of their papers we have counts for
4 papers
Odd supersymmetrization of elliptic R-matrices
A. Levin, M. Olshanetsky, A. Zotov
We study a general ansatz for an odd supersymmetric version of the Kronecker elliptic function, which satisfies the genus one Fay identity. The obtained result is used for construc…
Three lectures on classical integrable systems and gauge field theories
M. Olshanetsky
In these lectures I consider the Hitchin integrable systems and their relations with the self-duality equations and the twisted super-symmetric Yang-Mills theory in four dimension…
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…
Classical limit of the Knizhnik-Zamolodchikov-Bernard equations as hierarchy of isomonodromic deformations. Free fields approach
A. M. Levin, M. A. Olshanetsky
We investigate the classical limit of the Knizhnik-Zamolodchikov-Bernard equations, considered as a system of non-stationar Schröodinger equations on singular curves, where times a…