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arXiv · 2604.27416

Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$

Rei Aradachi·Hiromasa Nakayama·Jiro Sekiguchi
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Abstract

In this article, we first explain a group theoretic interpretation of the derivation of the relation between the flat coordinates of the polynomial prepotential $(H_3)$ and those of the algebraic prepotential $(H_3)'$ given in \cite{KMS2} constructed by M. Feigin, D. Valeri and J. Wright \cite{FVW}. By the same idea explained in the case of $(H_3)$, we will show a relation between the flat coordinates of the polynomial prepotential $(H_4)$ and those of the algebraic prepotential $H_4(9)$ given in \cite{Se}.

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Rei Aradachi, Hiromasa Nakayama, Jiro Sekiguchi. 2026-04-30. Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$. https://arxiv.org/abs/2604.27416

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