Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds
Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds
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通过 3 托里实现一类 Calabi-Yau 三重体的镜像对称
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
P.M.H. Wilson
中科院分区：
文献类型：
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作者：
Mark Gross;P.M.H. Wilson
我们给出了Strominger， Yau和Zaslow在“mirror Symmetry is T-duality，”help -th/9606040中最近提出的镜像构造的一个例子。本文首先根据这种构造考虑了K3表面的镜像对称性。然后，我们考虑Voisin和Borcea所考虑的类型的Calabi-Yau三层的镜像对称例子，其形式为SxE/对合，其中S是具有对合的K3曲面，E是椭圆曲线。在这些例子中我们展示了如何对偶一组特殊的拉格朗日实3-环面来产生镜面。
We give an example of the recent proposed mirror construction of Strominger, Yau and Zaslow in ``Mirror Symmetry is T-duality,' hep-th/9606040. The paper first considers mirror symmetry for K3 surfaces in light of this construction. We then consider the example of mirror symmetry for Calabi-Yau threefolds of the type considered by Voisin and Borcea, of the form SxE/involution where S is a K3 surface with involution, and E is an elliptic curve. We show how dualizing a family of special Lagrangian real 3-tori does actually produce the mirrors in these examples.