The Inversion Symmetry of the WDVV Equations and Tau Functions

The Inversion Symmetry of the WDVV Equations and Tau Functions

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 cons...

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Veröffentlicht in:arXiv.org 2013-05
Hauptverfasser: Si-Qi, Liu, Xu, Dingdian, Zhang, Youjin
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Hierarchies
Mathematical analysis
Symmetry
Transformations (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422