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

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

2005-11-13

arxiv.org/abs/math-ph/0511048v1

Physics

Mathematical Physics

Scientific paper

10.1007/s11005-006-0096-0

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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