Membrane instantons from mirror symmetry

Membrane instantons from mirror symmetry
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DOI:
10.4310/cntp.2007.v1.n4.a3
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发表时间:
2007-07
影响因子:
1.9
通讯作者:
D. Robles-Llana;F. Saueressig;U. Theis;S. Vandoren
D. Robles-Llana;F. Saueressig;U. Theis;S. Vandoren
中科院分区:
数学2区
文献类型:
--
作者:
D. Robles-Llana;F. Saueressig;U. Theis;S. Vandoren

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利用镜像对称性,我们确定并总结了IIA型弦的Calabi-Yau三重紧化中超多重态模空间度规的一类膜瞬子修正。这些修正与IIB侧的D1和D(-1)-膜瞬子是镜像的,并且在射影超空间中以单个函数的形式明确给出。相应的四维有效作用量由镜像卡-丘的欧拉数和亏格为零的Gopakumar-Vafa不变量完全固定。
We use mirror symmetry to determine and sum up a class of membrane instanton corrections to the hypermultiplet moduli space metric arising in Calabi-Yau threefold compactifications of type IIA strings. These corrections are mirror to the D1 and D(-1)-brane instantons on the IIB side and are given explicitly in terms of a single function in projective superspace. The corresponding four-dimensional effective action is completely fixed by the Euler number and the genus zero Gopakumar-Vafa invariants of the mirror Calabi-Yau.