A new class of solutions to the WDVV equation

Abstract

The known prepotential solutions F to the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation are parametrized by a set alpha of covectors. This set may be taken to be indecomposable, since Falpha oplus beta=Falpha+Fbeta. We couple mutually orthogonal covector sets by adding so-called radial terms to the standard form of F. The resulting reducible covector set yields a new type of irreducible solution to the WDVV equation.

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