The elliptic Gaudin system with spin
High Energy Physics - Theory
2007-05-23 v3 Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.hep-th/0101224,
title = {The elliptic Gaudin system with spin},
author = {D. Talalaev},
journal= {arXiv preprint arXiv:hep-th/0101224},
year = {2007}
}
Comments
17 pages in Latex