Mirror symmetry, D-brane superpotentials and Ooguri-Vafa invariants of Calabi-Yau manifolds
Mirror symmetry, D-brane superpotentials and Ooguri-Vafa invariants of Calabi-Yau manifolds
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DOI：
10.1088/1674-1137/39/12/121002
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发表时间：
2015-03
影响因子：
3.6
通讯作者：
Shan-Shan Zhang-Shan;Fu-Zhong Yang
中科院分区：
文献类型：
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作者：
Shan-Shan Zhang-Shan;Fu-Zhong Yang
D-膜超电势在低能有效理论中非常重要。作为从世界表的角度来看所有盘瞬子的生成函数，它在推导紧致卡拉比-丘流形的一些重要性质中起着至关重要的作用。利用广义GKZ超几何系统，我们将分别计算两个非费马型紧凑Calabi-Yau超曲面的复曲面簇的D膜超势。然后根据镜像对称性，我们得到了镜像Calabi-Yau流形的A模型超势和Ooguri-Vafa不变量。
The D-brane superpotential is very important in the low energy effective theory. As the generating function of all disk instantons from the worldsheet point of view, it plays a crucial role in deriving some important properties of the compact Calabi-Yau manifolds. By using the generalized GKZ hypergeometric system, we will calculate the D-brane superpotentials of two non-Fermat type compact Calabi-Yau hypersurfaces in toric varieties, respectively. Then according to the mirror symmetry, we obtain the A-model superpotentials and the Ooguri-Vafa invariants for the mirror Calabi-Yau manifolds.