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 { α } of covectors. This set may be taken to be indecomposable, since F { α } ⊕ ˙ { β } = F { α } + F { β } . 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.