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

James T. Ferguson·Ian A. B. Strachan
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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 solution of the WDVV equations. Such solution satisfy various pseudo-quasi-homogeneity conditions, on assigning a notional weight to the deformation parameters. 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.

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James T. Ferguson, Ian A. B. Strachan. 2006-05-30. Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations. https://doi.org/10.1007/s00220-008-0464-y

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