Locus configurations and /∨-systems*
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 by one of the authors 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.
- Publication:
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Physics Letters A
- Pub Date:
- July 2001
- DOI:
- 10.1016/S0375-9601(01)00368-1
- arXiv:
- arXiv:math-ph/0105003
- Bibcode:
- 2001PhLA..285..339C
- Keywords:
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- Mathematical Physics
- E-Print:
- 12 pages