A note on the relationship between rational and trigonometric solutions of the WDVV equations
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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.
- © 2007, the Authors. Published by Atlantis Press.
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Cite this article
TY - JOUR AU - Andrew Riley AU - Ian A.B. Strachan PY - 2007 DA - 2007/02/01 TI - A note on the relationship between rational and trigonometric solutions of the WDVV equations JO - Journal of Nonlinear Mathematical Physics SP - 82 EP - 94 VL - 14 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2007.14.1.7 DO - 10.2991/jnmp.2007.14.1.7 ID - Riley2007 ER -