English

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 \vee-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 \vee-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