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Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
Fortschritte der Physik ( IF 3.9 ) Pub Date : 2021-05-24 , DOI: 10.1002/prop.202100052
Anthony Ashmore 1, 2 , Sebastian Dumitru 3 , Burt A. Ovrut 3
Affiliation  

We review the compactification to five-dimensional heterotic M-theory on a Schoen Calabi–Yau threefold and the specific urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0001 vector bundle leading to the “heterotic standard model” in the observable sector. Within 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 slope-stability of both the observable and hidden sector bundles. The further compactification to a four-dimensional effective theory on a linearized BPS double domain wall is then presented to order urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0002. Specifically, the generic constraints required for anomaly cancellation and the restrictions imposed by positive squared gauge couplings to order urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0003 are presented in detail. Three additional constraints are imposed, one guaranteeing that the urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0004 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 urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0005 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 urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0006 supersymmetry in the low-energy effective theory is discussed. It is shown that urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0007 supersymmetry can be preserved by cancelling the tree-level and genus-one contributions against each another. As a check on our results, we calculate several quantities to order urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0008 and show that they remain physically acceptable, and even improve, when computed to higher order.

中文翻译:

强耦合异质标准模型的线束隐藏扇区

我们回顾了在 Schoen Calabi-Yau 三重上对五维杂种优势 M 理论的紧致化以及urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0001导致可观察部门中“杂种标准模型”的特定向量丛。在强耦合异质优势 M 理论中,提出了与单线丛相关联的一致隐藏扇区丛的形式,并引入了特定线丛作为具体示例。在这种情况下讨论了异常消除和相关的大空间五膜,以及可观察和隐藏扇区束的斜率稳定性。然后提出对线性化 BPS 双畴壁上的四维有效理论的进一步压缩,以便订购urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0002. 具体而言,详细介绍了异常消除所需的一般约束以及正平方规范耦合对订单施加的限制骨灰盒:x-wiley:00158208:media:prop202100052:prop202100052-math-0003。施加了三个额外的约束,一个保证骨灰盒:x-wiley:00158208:media:prop202100052:prop202100052-math-0004轨道长度足够大于平均 Calabi-Yau 半径,两个强制隐藏扇区与urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0005可观察扇区中的群体的统一质量尺度和统一规范耦合兼容。最后,介绍了与异常U (1) 对称性相关的 Fayet-Iliopoulos 项的表达式,并讨论了它在骨灰盒:x-wiley:00158208:media:prop202100052:prop202100052-math-0006低能有效理论中超对称性中的作用。它表明urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0007可以通过取消树级和属一的贡献来保持超对称性。作为对我们结果的检查,我们计算了几个要订购的数量,urn:x-wiley:00158208:media:prop202100052:prop202100052-math-0008并表明当计算到更高的订单时,它们在物理上仍然可以接受,甚至有所改善。
更新日期:2021-07-07
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