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Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations

Andrew Riley·Ian A. B. Strachan
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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.

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Andrew Riley, Ian A. B. Strachan. 2005-11-13. Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations. https://doi.org/10.1007/s11005-006-0096-0

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