论文标题
线条束隐藏扇区，用于强耦合杂种标准模型
Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
论文作者
论文摘要
审查了从Schoen calabi-yau三倍的三维杂音Mheory的紧凑型，审查了五维的杂种M理论，综述了三倍的三倍。在强烈耦合的杂种M理论的背景下，提出了一种与单线束相关的一致隐藏区域捆绑包的形式主义，并引入了特定的线束作为具体的示例。在这种情况下讨论了异常取消和相关的批量空间，这是在这种情况下讨论的，即隐藏扇区束与可观察的扇区$ su（4）$ gauge束的坡度稳定性要求兼容的约束也是如此。然后将在线性BPS双域壁上的四维有效理论的进一步压实呈现为$κ_{11}^{4/3} $。具体而言，取消异常所需的通用约束以及正方形量规耦合所施加的限制，以详细介绍$κ_{11}^{4/3} $。 Three additional constraints are imposed, one guaranteeing that the $S^{1}/{\mathbb{Z}}_{2}$ orbifold length is sufficiently larger than the average Calabi-Yau radius, and two enforcing that the hidden sector be compatible with both the unification mass scale and unified gauge coupling of the $SO(10)$ group in the observable sector.最后，介绍了与异常$ u（1）$对称性相关的fayet-iliopoulos项的表达式，并讨论了其在$ n = 1 $ supersymmetry中的作用在低能量有效理论中。结果表明，可以通过取消对彼此的树级和属的贡献来保留$ n = 1 $ supersymmetry。
The compactification from the eleven-dimensional Hořava-Witten orbifold to five-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the observable sector. Within the context of strongly coupled heterotic M-theory, a formalism for consistent hidden-sector bundles associated with a single line bundle is presented, and a specific line bundle is introduced as a concrete example. Anomaly cancellation and the associated bulk space five-branes are discussed in this context, as is the constraint that the hidden sector bundle be compatible with the slope-stability requirements of the observable sector $SU(4)$ gauge bundle. The further compactification to a four-dimensional effective theory on a linearized BPS double domain wall is then presented to order $κ_{11}^{4/3}$. Specifically, the generic constraints required for anomaly cancellation and the restrictions imposed by positive squared gauge couplings to order $κ_{11}^{4/3}$ are presented in detail. Three additional constraints are imposed, one guaranteeing that the $S^{1}/{\mathbb{Z}}_{2}$ orbifold length is sufficiently larger than the average Calabi-Yau radius, and two enforcing that the hidden sector be compatible with both the unification mass scale and unified gauge coupling of the $SO(10)$ group in the observable sector. Finally, the expression for the Fayet-Iliopoulos term associated with an anomalous $U(1)$ symmetry is presented and its role in $N=1$ supersymmetry in the low-energy effective theory is discussed. It is shown that $N=1$ supersymmetry can be preserved by cancelling the tree-level and genus-one contributions against each another.
