Discrete Symmetries of Calabi-Yau Hypersurfaces in Toric Four-Folds
Discrete Symmetries of Calabi-Yau Hypersurfaces in Toric Four-Folds
复制标题
四折环面卡拉比-丘超曲面的离散对称性
DOI：
10.1007/s00220-017-3052-1
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发表时间：
2017
影响因子：
2.4
通讯作者：
Braun A
中科院分区：
文献类型：
--
作者：
Braun A
我们分析了Calabi-Yau三折的自由作用离散对称性，这些三折被定义为环境环面四折中的超曲面。设计了一种算法，可以对这种在环形环境空间上线性实现的对称性进行系统分类。该算法适用于从Kreuzer-Skarke列表中通过三角剖分获得的所有Calabi-Yau流形，该列表约有350个流形。这些流形上所有已知的自由作用对称性都得到了正确的再现，我们发现了五个具有自由作用对称性的流形。其中包括一个新的例子，一个不对称的流形，其中只有一个因素是已知的。此外，构造了具有的流形的新的自由作用对称。虽然我们的结果表明，在Kreuzer-Skarke集合中存在比以前已知的更多的自由作用对称性，但这种对称性似乎相对较少。
We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries which are linearly realised on the toric ambient space is devised. This algorithm is applied to all Calabi–Yau manifolds withobtained by triangulation from the Kreuzer–Skarke list, a list of some 350 manifolds. All previously known freely-acting symmetries on these manifolds are correctly reproduced and we find five manifolds with freely-acting symmetries. These include a single new example, a manifold with asymmetry where only one of thefactors was previously known. In addition, a new freely-actingsymmetry is constructed for a manifold with. While our results show that there are more freely-acting symmetries within the Kreuzer–Skarke set than previously known, it appears that such symmetries are relatively rare.