Deformations of the root systems and new solutions to generalised WDVV equations
High Energy Physics - Theory
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9902142,
title = {Deformations of the root systems and new solutions to generalised WDVV equations},
author = {A. P. Veselov},
journal= {arXiv preprint arXiv:hep-th/9902142},
year = {2009}
}
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8 pages