Symmetries of the WDVV equations and Chazy-type equations

Ruud Martini, Gerhard F. Post

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Abstract

We investigate the symmetry structure of the WDVV equations. We obtain an $r$-parameter group of symmetries, where $r = (n^2 + 7n + 2)/2 + \lfloor n/2 \rfloor$. Moreover it is proved that for $n=3$ and $n=4$ these comprise all symmetries. We determine a subgroup, which defines an $SL_2$-action on the space of solutions. For the special case $n=3$ this action is compared to the $SL_2$-symmetry of the Chazy equation. For $n=4$ and $n=5$ we construct new, Chazy-type, solutions.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversiteit Twente
Number of pages8
Publication statusPublished - 1998

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Department of Applied Mathematics
No.1466
ISSN (Print)0169-2690

Keywords

  • EWI-3286
  • MSC-35Q99
  • MSC-81T40
  • MSC-17B66
  • IR-65655
  • MSC-35N05
  • METIS-141310

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