Deformations of the root systems and new solutions to generalised WDVV equations

Details Deformations of the root systems and new solutions to generalised WDVV equations Deformations of the root systems and new solutions to generalised WDVV equations

1999-02-19

arxiv.org/abs/hep-th/9902142v1

Phys.Lett. A261 (1999) 297-302

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1016/S0375-9601(99)00500-9

A special class of solutions to the generalised WDVV equations related to a finite set of covectors is investigated. Some geometric conditions on such a set which guarantee that the corresponding function satisfies WDVV equations are found (check-conditions). These conditions are satisfied for all root systems and their special deformations discovered in the theory of the Calogero-Moser systems by O.Chalykh, M.Feigin and the author. This leads to the new solutions for the generalized WDVV equations.

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