B-model CEI on Calabi-Yau 3-folds satisfy holomorphic anomaly equations after proving dilaton/string/divisor analogs and applying Givental quantization.
BCOV's Feynman rule of quintic $3$-folds
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abstract
We prove the BCOV Feynman rule by identifying the Feynman graph sum to the graph sum of an R-matrix action extracted from the NMSP theory. As direct consequences, (i) we obtain the genus one and genus two potentials, and (ii) we prove the two Yamaguchi-Yau equations.
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B-model Categorical Enumerative Invariants and holomorphic anomaly equations
B-model CEI on Calabi-Yau 3-folds satisfy holomorphic anomaly equations after proving dilaton/string/divisor analogs and applying Givental quantization.