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math-ph2020
Quantization of Lax integrable systems and Conformal Field Theory
Oleg K. Sheinman
We present the correspondence between Lax integrable systems with spectral parameter on a Riemann surface, and Conformal Field Theories, in quite general set-up suggested earlier b…
math-ph2019★ 1 cited
Hitchin systems on hyperelliptic curves
P. I. Borisova, O. K. Sheinman
We describe a class of spectral curves and find explicit formulas for Darboux coordinates for hyperelliptic Hitchin systems corresponding to classical simple Lie groups. We conside…
math-ph2018
Spectral curves of the hyperelliptic Hitchin systems
O. K. Sheinman
A description of the class of spectral curves, and explicit formulas for algebraic-geometric action-angle coordinates are obtained for the Hitchin systems on hyperelliptic curves,…