Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems
Mathematical Physics
2024-10-31 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
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 - and -type multi-parameter rational solutions, relating them to known and new trigonometric solutions.
Keywords
Cite
@article{arxiv.2407.20349,
title = {Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems},
author = {Misha Feigin and Leo Kaminski and Ian A. B. Strachan},
journal= {arXiv preprint arXiv:2407.20349},
year = {2024}
}
Comments
28 pages