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arxiv: 1810.00394 · v2 · pith:L2VIQUPZnew · submitted 2018-09-30 · 🧮 math.AG · math-ph· math.MP

BCOV's Feynman rule of quintic 3-folds

classification 🧮 math.AG math-phmath.MP
keywords feynmanbcovgenusgraphproveruleactionconsequences
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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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