Polynomial solutions to the WDVV equations in four dimensions


Martini, R. and Post, G.F. (1997) Polynomial solutions to the WDVV equations in four dimensions. Journal of physics A: Mathematical and general, 309 (8). L229-L232. ISSN 0305-4470

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Abstract: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.
Item Type:Article
Copyright:© 1997 IOP Publishing
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/70354
Official URL:https://doi.org/10.1088/0305-4470/30/8/005
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