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arXiv 1012.5708math.DGnlin.SI
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WDVV方程和Tau函数的逆对称性

The Inversion Symmetry of the WDVV Equations and Tau Functions

Si-Qi Liu, Dingdian Xu, Youjin Zhang

摘要:

对于WDVV方程的两个由反演对称性相关的解,我们证明了可积系统的相关主族由一个互逆变换相关,且族的τ函数由一个Legendre型变换相关.我们还考虑Virasoro约束和拓扑变形的主要层次结构之间的关系。

英文摘要:

For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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