On the Integrable Geometry of Soliton Equations and N=2 Supersymmetric Gauge Theories*

@inproceedings{Krichever1996OnTI,
  title={On the Integrable Geometry of Soliton Equations and N=2 Supersymmetric Gauge Theories*},
  author={I. M. Krichever and Duong H. Phong},
  year={1996}
}
We provide a unified construction of the symplectic forms which arise in the solution of both N=2 supersymmetric Yang-Mills theories and soliton equations. Their phase spaces are Jacobian-type bundles over the leaves of a foliation in a universal configuration space. On one hand, imbedded into finite-gap solutions of soliton equations, these symplectic forms assume explicit expressions in terms of the auxiliary Lax pair, expressions which generalize the well-known Gardner-Faddeev-Zakharov… CONTINUE READING
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