A new class of solutions to the WDVV equation
Olaf Lechtenfeld, Kirill Polovnikov
TL;DR
This paper introduces a novel class of solutions to the WDVV equation by coupling orthogonal covector sets with radial terms, expanding the known solution space beyond traditional indecomposable sets.
Contribution
It presents a new method to generate irreducible solutions from reducible covector sets using radial terms, advancing the understanding of WDVV solutions.
Findings
New irreducible solutions to the WDVV equation
Coupling of orthogonal covector sets with radial terms
Extension of solution parametrization beyond indecomposable sets
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 F_{alpha oplus beta}=F_{alpha}+F_{beta}. 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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