Formulas for A_n and B_n-solutions of WDVV equations

Details Formulas for A_n and B_n-solutions of WDVV equations Formulas for A_n and B_n-solutions of WDVV equations

1999-04-14

arxiv.org/abs/hep-th/9904103v3

J.Geom.Phys. 39 (2001) 323-336

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, AmsTex, simplification of formulas

Scientific paper

The simplest non-trivial solutions of WDVV equations are A_n and B_n-potentials, which describe metrics of K.Saito on spaces of versal deformation of A_n and B_n-singularities. These are some polynomials, which were known for $n\leqslant$ 4. We find some recurrence relations, which give a possibility to find all A_n and B_n-potentials. In passing we give recurrence formulas for coefficients of dispersionless KP hierarchy.

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