The Inversion Symmetry of the WDVV Equations and Tau Functions

The Inversion Symmetry of the WDVV Equations and Tau Functions

Phys. D 241 (2012), no. 23-24, 2168--2177 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...

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Hauptverfasser: Liu, Si-Qi, Xu, Dingdian, Zhang, Youjin
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
Physics - Exactly Solvable and Integrable Systems
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Zusammenfassung:Phys. D 241 (2012), no. 23-24, 2168--2177 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.
DOI:10.48550/arxiv.1012.5708