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

ZHANG Shan-Shan; YANG Fu-Zhong

doi:10.1088/1674-1137/39/12/121002

Chinese Physics C> 2015, Vol. 39> Issue(12) : 121002 DOI: 10.1088/1674-1137/39/12/121002

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

ZHANG Shan-Shan ,
YANG Fu-Zhong ^,

1.
School of Physical Sciences, University of Chinese Academy of Sciences, Yuquan Road 19 A, Beijing 100049, China

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Abstract：
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.
- D-brane ,
- superpotential ,
- mirror symmetry ,
- Ooguri-Vafa invariant

References

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ZHANG Shan-Shan and YANG Fu-Zhong. Mirror symmetry, D-brane superpotentials and Ooguri-Vafa invariants of Calabi-Yau manifolds[J]. Chinese Physics C, 2015, 39(12): 121002. doi: 10.1088/1674-1137/39/12/121002

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Received: 2015-03-09
Revised: 2015-07-14

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Supported by Y4JT01VJ01 and NSFC(11475178)

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通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: YANG Fu-Zhong,

1. School of Physical Sciences, University of Chinese Academy of Sciences, Yuquan Road 19 A, Beijing 100049, China

Received Date: 2015-03-09

Accepted Date: 2015-07-14

Available Online: 2015-12-20

Fund Project: Supported by Y4JT01VJ01 and NSFC(11475178)

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

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