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- W3099071358 abstract "The Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations, as one would expect from an integrable system, has many symmetries, both continuous and discrete. One class - the so-called Legendre transformations - were introduced by Dubrovin. They are a discrete set of symmetries between the stronger concept of a Frobenius manifold, and are generated by certain flat vector fields. In this paper this construction is generalized to the case where the vector field (called here the Legendre field) is non-flat but satisfies a certain set of defining equations. One application of this more general theory is to generate the induced symmetry between almost-dual Frobenius manifolds whose underlying Frobenius manifolds are related by a Legendre transformation. This also provides a map between rational and trigonometric solutions of the WDVV equations." @default.
- W3099071358 created "2020-11-23" @default.
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- W3099071358 date "2017-01-27" @default.
- W3099071358 modified "2023-10-17" @default.
- W3099071358 title "Generalized Legendre transformations and symmetries of the WDVV equations" @default.
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- W3099071358 doi "https://doi.org/10.1088/1751-8121/aa58b2" @default.
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