论文标题
$ 4D $ SPACETIME的标准模型以外的新物理镜像对称性
Mirror symmetry for new physics beyond the Standard Model in $4D$ spacetime
论文作者
论文摘要
$ 4D $ spaceTime的完整Lorentz Group $ o（1,3）$的两个离散发电机通常被选择为平等反转对称$ p $和时间逆转对称$ t $，这些$ t $负责$ o（1,3）$的四个拓扑独立的组件。在具有内部自由度的量子场理论（QFT）的一般考虑下，镜像对称是$ p $的自然扩展，而$ cp $ symmetry类似于时空中的$ t $。特别是，镜像对称是至关重要的，因为它使QFT中的完整Dirac Fermion表示加倍，并且基本上引入了镜面粒子的新扇区。阐明了其与t偶数性的紧密联系和弦理论中的calabi-yau镜像对称性。然后，可以使用以镜子对称为引导的左手和右手的杂弦来构建标准模型之外的扩展。讨论了许多重要的含义，例如超对称性，手性异常，拓扑转变，希格斯，中微子和暗能量。
The two discrete generators of the full Lorentz group $O(1,3)$ in $4D$ spacetime are typically chosen to be parity inversion symmetry $P$ and time reversal symmetry $T$, which are responsible for the four topologically separate components of $O(1,3)$. Under general considerations of quantum field theory (QFT) with internal degrees of freedom, mirror symmetry is a natural extension of $P$, while $CP$ symmetry resembles $T$ in spacetime. In particular, mirror symmetry is critical as it doubles the full Dirac fermion representation in QFT and essentially introduces a new sector of mirror particles. Its close connection to T-duality and Calabi-Yau mirror symmetry in string theory is clarified. Extension beyond the Standard model can then be constructed using both left- and right-handed heterotic strings guided by mirror symmetry. Many important implications such as supersymmetry, chiral anomalies, topological transitions, Higgs, neutrinos, and dark energy, are discussed.
