Mirror symmetry, D-brane superpotentials and Ooguri-Vafa invariants of Calabi-Yau manifolds

被引:4
|
作者
Zhang Shan-Shan [1 ]
Yang Fu-Zhong [1 ]
机构
[1] Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
关键词
D-brane; superpotential; mirror symmetry; Ooguri-Vafa invariant; HYPERSURFACES; MAP;
D O I
10.1088/1674-1137/39/12/121002
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
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.
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页数:6
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