五次 $3$-fold 的 BCOV 费曼规则
代数几何
2019-03-06 v2 数学物理
math.MP
摘要
我们通过将费曼图求和等同于从 NMSP 理论提取的 R 矩阵作用的图求和，证明了 BCOV 费曼规则。作为直接推论，(i) 我们得到了亏格一与亏格二势，(ii) 我们证明了两个 Yamaguchi-Yau 方程。
引用
@article{arxiv.1810.00394,
title = {BCOV's Feynman rule of quintic $3$-folds},
author = {Huai-Liang Chang and Shuai Guo and Jun Li},
journal= {arXiv preprint arXiv:1810.00394},
year = {2019}
}
备注
We add to the original version (i) a full argument obtaining the genus two potential, (ii) a short proof that BCOV Feynman rules imply Yamaguchi-Yau equations, and (iii) explicit formulae for R-matrices in appendix. All supplementary material, and additional information related to the NMSP theory, are available at https://sites.google.com/site/guoshuaimath/