Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations
Mathematical Physics
2020-12-15 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
From any given Frobenius manifold one may construct a so-called dual structure which, while not satisfying the full axioms of a Frobenius manifold, shares many of its essential features, such as the existence of a prepotential satisfying the WDVV equations of associativity. Jacobi group orbit spaces naturally carry the structures of a Frobenius manifold and hence there exists a dual prepotential. In this paper this dual prepotential is constructed and expressed in terms of the elliptic polylogarithm function of Beilinson and Levin.
Keywords
Cite
@article{arxiv.math-ph/0511048,
title = {Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations},
author = {Andrew Riley and Ian A. B. Strachan},
journal= {arXiv preprint arXiv:math-ph/0511048},
year = {2020}
}