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

Riley, A. and Strachan, I.A.B. (2006) Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations. Letters in Mathematical Physics, 77(3), pp. 221-234. (doi: 10.1007/s11005-006-0096-0)

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 Witten– Dijkgraaf–Verlinde–Verlinde equations of associativity. Jacobi group orbit spaces naturally carry the structure 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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Strachan, Professor Ian
• Authors: Riley, A., and Strachan, I.A.B.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Letters in Mathematical Physics
• ISSN: 0377-9017
• ISSN (Online): 1573-0530
• Published Online: 29 August 2006