A note on the relationship between rational and trigonometric solutions of the WDVV equations
Exactly Solvable and Integrable Systems
2020-12-15 v1
Abstract
Legendre transformations provide a natural symmetry on the space of solutions to the WDVV equations, and more specifically, between different Frobenius manifolds. In this paper a twisted Legendre transformation is constructed between solutions which define the corresponding dual Frobenius manifolds. As an application it is shown that certain trigonometric and rational solutions of the WDVV equations are related by such a twisted Legendre transform.
Keywords
Cite
@article{arxiv.nlin/0605005,
title = {A note on the relationship between rational and trigonometric solutions of the WDVV equations},
author = {Andrew Riley and Ian A. B. Strachan},
journal= {arXiv preprint arXiv:nlin/0605005},
year = {2020}
}
Comments
9 pages