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 |
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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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