On geometry of a special class of solutions to generalised WDVV equations
High Energy Physics - Theory
2007-05-23 v1
Abstract
A special class of solutions to the generalised WDVV equations related to a finite set of covectors is considered. We describe the geometric conditions (-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.
Keywords
Cite
@article{arxiv.hep-th/0105020,
title = {On geometry of a special class of solutions to generalised WDVV equations},
author = {A. P. Veselov},
journal= {arXiv preprint arXiv:hep-th/0105020},
year = {2007}
}
Comments
11 pages, extended version of hep-th/9902142