Polynomial solutions to the WDVV equations in four dimensions

Ruud Martini, Gerhard F. Post

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All polynomial solutions of the WDVV equations for the case n = 4 are determined. We find all five solutions predicted by Dubrovin, namely those corresponding to Frobenius structures on orbit spaces of finite Coxeter groups. Moreover we find two additional series of polynomial solutions of which one series is of semi-simple type (massive). This result supports Dubrovin's conjecture if modified appropriately.
Original languageUndefined
Pages (from-to)L229-L232
Number of pages4
JournalJournal of physics A: mathematical and general
Issue number8
Publication statusPublished - 1997


  • METIS-140576
  • IR-70354

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