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arXiv · 0805.3245

WDVV solutions from orthocentric polytopes and Veselov systems

Olaf Lechtenfeld
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Abstract

N=4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. For U=0 one remains with the WDVV equation which suggests an ansatz for F in terms of a set of covectors to be found. One approach constructs such covectors from suitable polytopes, another method solves Veselov's \vee-conditions in terms of deformed Coxeter root systems. I relate the two schemes for the A_n example.

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Olaf Lechtenfeld. 2008-06-26. WDVV solutions from orthocentric polytopes and Veselov systems. https://arxiv.org/abs/0805.3245

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