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arXiv · 2006.01477

Mutation equivalence of toric Landau-Ginzburg models

Thomas Prince
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Abstract

Given a Fano complete intersection defined by sections of a collection nef line bundles $L_1,\ldots, L_c$ on a Fano toric manifold $Y$, a construction of Givental/Hori-Vafa provides a mirror-dual Landau-Ginzburg model. This construction depends on a choice of suitable nef partition; that is, a partition of the rays of the fan determined by $Y$. We show that toric Landau-Ginzburg models constructed from different nef partitions representing the same complete intersection are related by a volume preserving birational map. In particular, various Laurent polynomial mirrors which may be obtained from these Landau-Ginzburg models are mutation equivalent.

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Thomas Prince. 2020-06-02. Mutation equivalence of toric Landau-Ginzburg models. https://doi.org/10.1112/blms.12505

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