BCOV's Feynman rule of quintic threefolds

Huai-Liang Chang Hong Kong University of Science and Technology Shuai Guo School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University Jun Li Shanghai Center for Mathematical Sciences, Fudan University, China

mathscidoc:1908.01016

We prove the Bershadsky-Cecotti-Ooguri-Vafa's conjecture for all genus Gromov-Witten potentials of the quintic threefolds, by identifying the Feynman graph sum with the $\nmsp$ stable graph sum via an R-matrix action. The Yamaguchi-Yau functional equations and the formulas of $F_1,F_2$, are direct consequences of the BCOV Feynman sum rule.
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@inproceedings{huai-liangbcov's,
  title={BCOV's Feynman rule of quintic threefolds},
  author={Huai-Liang Chang, Shuai Guo, and Jun Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822221756487527460},
}
Huai-Liang Chang, Shuai Guo, and Jun Li. BCOV's Feynman rule of quintic threefolds. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822221756487527460.
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