Hypercharge flux in heterotic compactifications
Hypercharge flux in heterotic compactifications
复制标题
异质致密化中的超电荷通量
DOI：
10.1103/physrevd.91.046008
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发表时间：
2015
影响因子：
5
通讯作者：
Anderson L
中科院分区：
文献类型：
--
作者：
Anderson L
我们研究具有超荷通量破坏的异质 Calabi-Yau 模型，其中可见规范组通过非平坦规范束直接分裂为标准模型组，而不是通过涉及中间大统一理论和威尔逊线的两步过程。结果表明，可以找到所需的超充电替代嵌入，并根据规范统一的要求进行归一化，并且我们对这些可能性进行了分类。然而，对于除其中一个嵌入之外的所有嵌入，我们证明了一个通用的不可行定理，该定理断言无法找到导致标准模型谱的合适的几何形状和向量束。直观上，发生这种情况是因为在缺乏基础大统一理论的情况下，为了获得正确的物理谱，必须施加大量的索引条件。
We study heterotic Calabi-Yau models with hypercharge flux breaking, where the visiblegauge group is directly broken to the standard model group by a nonflat gauge bundle, rather than by a two-step process involving an intermediate grand unified theory and a Wilson line. It is shown that the required alternativeembeddings of hypercharge, normalized as required for gauge unification, can be found and we classify these possibilities. However, for all but one of these embeddings we prove a general no-go theorem which asserts that no suitable geometry and vector bundle leading to a standard model spectrum can be found. Intuitively, this happens due to the large number of index conditions which have to be imposed in order to obtain a correct physical spectrum in the absence of an underlying grand unified theory.