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arXiv · 2301.01687

Tropical Mirror Symmetry: Correlation functions

Andrey Losev·Vyacheslav Lysov
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Abstract

We formulate the mirror symmetry for correlation functions of tropical observables. We prove the tropical mirror correspondence for correlation functions of evaluation observables on toric space. The key point of the proof is the localization of correlation functions for mirror states in type-B higher topological quantum mechanics on trees. The correlation functions localize to the correlation functions of holomorphic functions, defined recursively in Landau-Ginzburg-Saito theory with exponential mirror superpotential and tropical good section.

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Andrey Losev, Vyacheslav Lysov. 2023-01-04. Tropical Mirror Symmetry: Correlation functions. https://arxiv.org/abs/2301.01687

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