论M5-膜的中间雅可比
摘要
我们研究包裹于M/F-理论椭圆Calabi-Yau四重紧致化中竖直除子的欧氏M5-膜，这些紧致化允许一个Sen极限。我们将这些Calabi-Yau四重构造为环面超曲面Calabi-Yau三重坐标翻转O3/O7 orientifold上的椭圆纤维。我们设计了一种方法，仅利用IIB型在O3/O7 Calabi-Yau orientifold上紧致化的可用数据，来分析这些四重中竖直除子的Hodge结构（进而其中间雅可比的维数）。我们的方法利用了（我们所证明的）Calabi-Yau orientifold及其素环面除子的等变Hodge数的简单组合公式，以及相应椭圆Calabi-Yau四重中竖直除子欧拉示性数的公式。我们的欧拉示性数公式包含一个推测的修正项，用以解释对应于微扰O3-平面的点状终端奇点的贡献。我们在若干显式例子中检验了该猜想，并与直接计算的结果完全吻合。
引用
@article{arxiv.2211.00210,
title = {On the intermediate Jacobian of M5-branes},
author = {Patrick Jefferson and Manki Kim},
journal= {arXiv preprint arXiv:2211.00210},
year = {2023}
}
备注
110 pages plus appendices. Reviews various aspects of toric geometry, including toric hypersurfaces and stratifications. v2: Corrected minor typos, clarifications about vacua to which our results apply. v3: Corrected typos in appendix, added comment and reference regarding Picard rank of an Enriques surface in Section 6.3. v4: Added a reference for algorithm for identifying orientifold fixed loci