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A new class of solutions to the WDVV equation
Authors:Olaf Lechtenfeld  Kirill Polovnikov
Affiliation:a Institut für Theoretische Physik, Leibniz Universität Hannover, 30167 Hannover, Germany
b Laboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Russia
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 View the MathML source. 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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