A note on the relationship between rational and trigonometric solutions of the WDVV equations
A note on the relationship between rational and trigonometric solutions of the WDVV equations
复制标题
关于 WDVV 方程有理解和三角解之间关系的注解
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
I. Strachan
中科院分区：
文献类型：
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作者：
Andrew Riley;I. Strachan
Legendre变换在WDVV方程的解空间上，更具体地说，在不同的Frobenius流形之间，提供了一种自然的对称性。在定义对偶Frobenius流形的解之间构造了一个扭曲的Legendre变换。作为一个应用，证明了WDVV方程的某些三角解和有理解是由这样的扭曲勒让德变换联系起来的。
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.