Deformations of the root systems and new solutions to generalised WDVV equations

Preprint

19 February 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9902142

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

GENERALISED WDVV EQUATIONS
SPECIAL CLASS
NEW SOLUTIONS
ROOT SYSTEMS
DEFORMATIONS

All Related Versions

Version 1, 1999-02-19, ArXiv
Published version: Physics Letters A, 261 (5-6), 297.

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