Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces
Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces
复制标题
高维 Calabi-Yau 超曲面的开镜对称
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Masahide Manabe
中科院分区：
文献类型：
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作者：
Yoshinori Honma;Masahide Manabe
一个具有通量和膜的紧化激励我们研究Calabi-Yau流形的各种计数不变量。本文研究了一般维数下一类紧致Calabi-Yau流形依赖于开弦模和闭弦模的非微扰修正。我们的分析是基于相对上同调和广义超几何系统的方法。对于最简单的例子，紧凑的卡-丘五倍，我们明确地推导出相关的皮卡-富克斯微分方程和计算的量子校正的开放和封闭的平面坐标。一种开闭对偶的影响也进行了讨论。
A bstractCompactifications with fluxes and branes motivate us to study various enumerative invariants of Calabi-Yau manifolds. In this paper, we study non-perturbative corrections depending on both open and closed string moduli for a class of compact Calabi-Yau manifolds in general dimensions. Our analysis is based on the methods using relative cohomology and generalized hypergeometric system. For the simplest example of compact Calabi-Yau fivefold, we explicitly derive the associated Picard-Fuchs differential equations and compute the quantum corrections in terms of the open and closed flat coordinates. Implications for a kind of open-closed duality are also discussed.