Formulas for A_n and B_n-solutions of WDVV equations
High Energy Physics - Theory
2015-06-26 v3 Mathematical Physics
Algebraic Geometry
Differential Geometry
math.MP
Abstract
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 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.
Keywords
Cite
@article{arxiv.hep-th/9904103,
title = {Formulas for A_n and B_n-solutions of WDVV equations},
author = {S. M. Natanzon},
journal= {arXiv preprint arXiv:hep-th/9904103},
year = {2015}
}
Comments
12 pages, AmsTex, simplification of formulas