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)
Text
arxiv.html 3kB |
Publisher's URL: http://dx.doi.org/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 |
University Staff: Request a correction | Enlighten Editors: Update this record