On geometry of a special class of solutions to generalised WDVV equations

Details On geometry of a special class of solutions to generalised WDVV equations On geometry of a special class of solutions to generalised WDVV equations

2001-05-02

arxiv.org/abs/hep-th/0105020v1

In the book "Integrability: The Seiberg-Witten and Whitham Equations" Ed. by H.W.Braden and I.M.Krichever. Gordon and Breach,

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, extended version of hep-th/9902142

Scientific paper

A special class of solutions to the generalised WDVV equations related to a finite set of covectors is considered. We describe the geometric conditions ($\vee$-conditions) on such a set which are necessary and sufficient for the corresponding function to satisfy the generalised WDVV equations. These conditions are satisfied for all Coxeter systems but there are also other examples discovered in the theory of the generalised Calogero-Moser systems. As a result some new solutions for the generalized WDVV equations are found.

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