Locus configurations and $\vee$-systems
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
We present a new family of the locus configurations which is not related to -systems thus giving the answer to one of the questions raised in \cite{V1} about the relation between the generalised quantum Calogero-Moser systems and special solutions of the generalised WDVV equations. As a by-product we have new examples of the hyperbolic equations satisfying the Huygens' principle in the narrow Hadamard's sense. Another result is new multiparameter families of -systems which gives new solutions of the generalised WDVV equation.
Keywords
Cite
@article{arxiv.math-ph/0105003,
title = {Locus configurations and $\vee$-systems},
author = {O. A. Chalykh and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0105003},
year = {2009}
}
Comments
12 pages