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

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

2006-05-30

arxiv.org/abs/math-ph/0605078v1

Physics

Mathematical Physics

21 pages

Scientific paper

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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