论文标题
Berglund-Hubsch类型的Calabi-Yau歧管与BatyRev polytopes之间的巧合
Coincidences between Calabi-Yau manifolds of Berglund-Hubsch type and Batyrev polytopes
论文作者
论文摘要
在本文中，我们考虑了在两个不同加权的投射空间中被认为是高空曲面的卡拉比yau歧管的关键特性完全巧合的现象。更确切地说，这对中的第一个歧管在加权投影空间中是一个超出表面，而第二种是在另一个加权投影空间的Orbifold中作为hypersurface。每对中的两个流形具有相同的hodge数字，并且在复杂结构模量空间上具有特殊的kähler几何形状，并且与相同的$ n = 2 $量规线性sigma模型相关联。我们使用batyrev在卡拉比雅歧管和反身polyhedra之间的对应关系来解释这种有趣的巧合。
In this article, we consider the phenomenon of complete coincidence of the key properties of pairs of Calabi-Yau manifolds realized as hypersurfaces in two different weighted projective spaces. More precisely, the first manifold in such a pair is realized as a hypersurface in a weighted projective space, and the second as a hypersurface in the orbifold of another weighted projective space. The two manifolds in each pair have the same Hodge numbers and special Kähler geometry on the complex structure moduli space and are associated with the same $N=2$ gauge linear sigma model. We give the explanation of this interesting coincidence using the Batyrev's correspondence between Calabi-Yau manifolds and the reflexive polyhedra.
