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Tropical Mirror Symmetry: Correlation functions

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arxiv 2301.01687 v2 pith:SRZ7IKZJ submitted 2023-01-04 hep-th math-phmath.MP

Andrey Losev , Vyacheslav Lysov This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords functionscorrelationmirrortropicalobservablessymmetrycorrespondencedefined
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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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Cited by 1 Pith paper

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  1. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

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