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Bibliographic Details
Main Authors: Feigin, Misha, Kaminski, Leo, Strachan, Ian A. B.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.20349
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Table of Contents:
  • The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin. We explicitly compute the results of a Legendre transformation applied to $A_n$- and $B_n$-type multi-parameter rational solutions, relating them to known and new trigonometric solutions.