Polynomial solutions to the WDVV equations in four dimensions

Ruud Martini; Gerhard F. Post

doi:10.1088/0305-4470/30/8/005

Polynomial solutions to the WDVV equations in four dimensions

Ruud Martini
, Gerhard F. Post

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

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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.

Original language	Undefined
Pages (from-to)	L229-L232
Number of pages	4
Journal	Journal of physics A: mathematical and general
Volume	30
Issue number	8
DOIs	https://doi.org/10.1088/0305-4470/30/8/005
Publication status	Published - 1997

Keywords

METIS-140576
IR-70354

Access to Document

10.1088/0305-4470/30/8/005

Martini97poly

Cite this

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title = "Polynomial solutions to the WDVV equations in four dimensions",

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.",

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T1 - Polynomial solutions to the WDVV equations in four dimensions

AU - Martini, Ruud

AU - Post, Gerhard F.

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

KW - METIS-140576

KW - IR-70354

U2 - 10.1088/0305-4470/30/8/005

DO - 10.1088/0305-4470/30/8/005

M3 - Article

SN - 0305-4470

VL - 30

SP - L229-L232

JO - Journal of physics A: mathematical and general

JF - Journal of physics A: mathematical and general

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ER -