论文标题
卡拉比（Calabi-Yau
Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications
论文作者
论文摘要
我们探索CP的几何起源和Calabi-yau紧凑型中自发的CP违规。我们发现，在Calabi-yau三倍的大复杂结构状态下，CP对称性具有符号模块组的外部自动形态，从而将符号模块组扩大到其半导向产品组。自发的CP违规是通过引入通量来实现的，该通量的有效动作在CP以及离散的$ \ Mathbb {Z} _2 $对称或$ \ Mathbb {Z} _4 $ r-r-symmetry。我们明确证明了在特定的卡拉比三倍上违反自发的CP违规行为。
We explore the geometrical origin of CP and the spontaneous CP violation in Calabi-Yau compactifications. We find that the CP symmetry is identified with an outer automorphism of the symplectic modular group in the large complex structure regime of Calabi-Yau threefolds, thereby enlarging the symplectic modular group to their semidirect product group. The spontaneous CP violation is realized by the introduction of fluxes, whose effective action is invariant under CP as well as the discrete $\mathbb{Z}_2$ symmetry or $\mathbb{Z}_4$ R-symmetry. We explicitly demonstrate the spontaneous CP violation on a specific Calabi-Yau threefold.
