A note on the relationship between rational and trigonometric solutions of the WDVV equations

Riley, A. and Strachan, I.A.B. (2007) A note on the relationship between rational and trigonometric solutions of the WDVV equations. Journal of Nonlinear Mathematical Physics, 14(1), pp. 82-94. (doi: 10.2991/jnmp.2007.14.1.7)

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Publisher's URL: http://dx.doi.org/10.2991/jnmp.2007.14.1.7

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Strachan, Professor Ian
Authors: Riley, A., and Strachan, I.A.B.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Nonlinear Mathematical Physics
Publisher:Atlantis Press
ISSN:1402-9251
ISSN (Online):1776-0852
Copyright Holders:Copyright © 2007 Atlantis Press and The Authors
First Published:First published in Journal of Nonlinear Mathematical Physics 14(1):82-94
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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