Symmetries of the WDVV Equations |
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| Authors: | M L Geurts R Martini G F Post |
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| Institution: | (1) IBM Netherlands, Watsonweg 2, 1423 ND Uithoorn, The Netherlands;(2) Faculty of Applied Mathematics University Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands |
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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+4)+ n/2 . Moreover, it is proved that for n=3 and n=4 these comprise all symmetries. We determine a subgroup, which defines an SL2-action on the space of solutions. For the special case n=3 this action is compared to the SL2-symmetry of the Chazy equation. We construct similar solutions in the cases n=4 and n=5. |
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| Keywords: | WDVV equations Lie symmetries Chazy equation |
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