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

Abstract

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.

8 pages

References in corpus (1)

• Solutions of WDVV equations in Seiberg-Witten theory from root systems

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