Mutation equivalence of toric Landau-Ginzburg models
Abstract
Given a Fano complete intersection defined by sections of a collection nef line bundles L1,…, Lc 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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