Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
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Calabi-Yau 3 倍模空间的吸引子机制
DOI：
10.1016/j.geomphys.2022.104724
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Atsushi Kanazawa
中科院分区：
文献类型：
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作者：
Yu-Wei Fan;Atsushi Kanazawa
研究了Calabi-Yau 3-folds模空间的复吸引子机制和Kähler吸引子机制.复杂的吸引子机制以前曾由费拉拉-卡洛什-斯特罗明格、摩尔等人在弦理论中研究过。研究了中同调类的归一化中心荷的极小化问题，并定义了一类新的有趣的Calabi-Yau 3-folds，称为复吸引子簇。根据镜像对称性，我们引入了Kähler吸引子机制，定义了Kähler吸引子簇.复合吸引子和凯勒吸引子的变种被期望拥有非常丰富的结构，特别是某些复合刚性和凯勒刚性。
We investigate the complex and Kähler attractor mechanisms of moduli spaces of Calabi–Yau 3-folds. The complex attractor mechanism was previously studied by Ferrara–Kallosh–Strominger, Moore and others in string theory. It is concerned with the minimizing problems of the normalized central charges of the middle homology classes and defines a new interesting class of Calabi–Yau 3-folds called, the complex attractor varieties. In light of mirror symmetry, we introduce the Kähler attractor mechanism and define the Kähler attractor varieties. The complex and Kähler attractor varieties are expected to possess very rich structures, in particular certain complex and Kähler rigidities.