Solutions of WDVV Equations in Seiberg-Witten Theory from Root Systems

@inproceedings{Martini1998SolutionsOW,
  title={Solutions of WDVV Equations in Seiberg-Witten Theory from Root Systems},
  author={Ruud Martini and Peter K. H. Gragert},
  year={1998}
}
defines a solution of the generalized WDVV-system (1). Of course other gauge groups may be considered and more general solutions may be proposed for classical Lie groups [3, 4]. So although extremely difficult to solve in general, this overdetermined system of nonlinear equations admit exact solutions. In this note we shall present a complete proof that a substantial class of solutions for the system (1) may be constructed from root systems of semisimple Lie algebras. 

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