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Tropical Mirror Symmetry: Correlation functions

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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.

fields

hep-th 1

years

2025 1

verdicts

REJECT 1

representative citing papers

Advancements in Functorial Homological Mirror Symmetry

hep-th · 2025-02-10 · reject · novelty 4.0

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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  • Advancements in Functorial Homological Mirror Symmetry hep-th · 2025-02-10 · reject · none · ref 80 · internal anchor

    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.