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A new class of solutions to the WDVV equation

High Energy Physics - Theory 2010-01-06 v1 Mathematical Physics math.MP

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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Cite

@article{arxiv.0907.2244,
  title  = {A new class of solutions to the WDVV equation},
  author = {Olaf Lechtenfeld and Kirill Polovnikov},
  journal= {arXiv preprint arXiv:0907.2244},
  year   = {2010}
}

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1+4 pages