The elliptic Gaudin system with spin

Details The elliptic Gaudin system with spin The elliptic Gaudin system with spin

2001-01-31

arxiv.org/abs/hep-th/0101224v3

Theor.Math.Phys. 130 (2002) 361-374; Teor.Mat.Fiz. 130 (2002) 426-441

Physics

High Energy Physics

High Energy Physics - Theory

17 pages in Latex

Scientific paper

The elliptic Gaudin model was obtained as the Hitchin system on an elliptic curve with two fixed points. In the present paper the algebraic-geometrical structure of the system with two fixed points is clarified. We identify this system with poles dynamics of the finite gap solutions of Davey-Stewartson equation. The solutions of this system in terms of theta-functions and the action-angle variables are constructed. We also discuss the geometry of its degenerations.

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