Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations

Ferguson, J. and Strachan, I.A.B. (2008) Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations. Communications in Mathematical Physics, 280(1), pp. 1-25. (doi: 10.1007/s00220-008-0464-y)

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Publisher's URL: http://dx.doi.org/10.1007/s00220-008-0464-y

Abstract

The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms. This results in deformations - quadratic in the deformation parameters- of the normal prepotential solutions of the WDVV equations. Such solutions satisfy various pseudo-quasi-homogeneity conditions, on assigning a notional weight to the deformation parameters. These solutions originate in the so-called `water-bag' reductions of the dispersionless KP hierarchy. This construction includes, as a special case, deformations which are polynomial in the flat coordinates, resulting in a new class of polynomial solutions of the WDVV equations.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Strachan, Professor Ian
Authors: Ferguson, J., 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:Communications in Mathematical Physics
ISSN:0010-3616
ISSN (Online):1432-0916
Published Online:15 March 2008
Copyright Holders:Copyright © 2008 Springer
First Published:First published in Communications in Mathematical Physics 2008 280(1):1-25
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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