通量紧致化中模真空的算术结构注记
Note on arithmetic structure of modulus vacua in flux compactifications
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中文总结 AI 辅助
本文研究背景通量下的模稳定化，以两类模型为例分析模真空的算术结构，发现其简并度与空穴面积相关，且由含 CP 对称性的离散阿贝尔对称性关联，还讨论了自发 CP 破坏。
中文摘要 AI 辅助
我们研究背景通量下的模稳定化，超对称极小值满足一个全纯二次方程。作为具体实例，我们考虑$T^6/(\boldsymbol{Z}_2\times\boldsymbol{Z}_2')$定向模模型与一个简单卡拉比-丘（Calabi-Yau）紧致化模型，模数值呈现特定模式，例如表现为 Farey 序列；高简并度的模真空周围出现空穴结构，我们发现简并度与空穴面积存在关联。模真空由高斯合成律生成的离散阿贝尔对称性关联，其中包含 CP 对称性，我们还讨论了自发 CP 破坏。
英文摘要
We study modulus stabilization by background fluxes. Within the truncated complex-structure sector, the F-term conditions of the complex structure moduli are described by a holomorphic quadratic equation. As concrete examples, we consider the $T^6/(\mathbb{Z}_2\times\mathbb{Z}_2')$ orientifold model and a simple Calabi-Yau compactification. The modulus values show specific patterns. For example, they exhibit a structure related to the Farey sequence. The void structure appears around modulus vacua with high degeneracies. We find a correlation between the degeneracy and the void area. The modulus vacua are related by discrete Abelian symmetries generated by the Gauss composition law, which includes the CP symmetry. Spontaneous CP violation is also discussed.
发表机构
- Hokkaido University（北海道大学）
- Kyushu University（九州大学）
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