Anomaly cancellation in six dimensions
Anomaly cancellation in six dimensions
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六维异常消除
DOI：
10.1063/1.530885
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发表时间：
1993
影响因子：
1.3
通讯作者：
J. Erler
中科院分区：
文献类型：
--
作者：
J. Erler
结果表明，异常消除条件足以确定与卡拉比-丘（CY）压缩到六维相关的两个最重要的拓扑数。这反映了 K3 是二维复数维度中唯一的非平凡 CY 流形这一事实。明确构建了 Green-Schwarz 反项，并导出了附加增强 U(1) 因子费用的求和规则，并将结果与 K3 的所有可能的阿贝尔环折叠结构进行了比较。这也包括不对称轨道折叠，表明可以重新获得此类模型的几何解释。最后，本文讨论了一些具有损坏的 E7 规范组的模型，这些模型对于更多的现象学应用将很有用。
It is shown that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi–Yau (CY) compactification to six dimensions. This reflects the fact that K3 is the only nontrivial CY manifold in two complex dimensions. The Green–Schwarz counterterms are explicitly constructed and sum rules for charges of additional enhanced U(1) factors are derived and the results with all possible Abelian orbifold constructions of K3 are compared. This includes asymmetric orbifolds as well, showing that it is possible to regain a geometrical interpretation for this class of models. Finally, some models with a broken E7 gauge group which will be useful for more phenomenological applications are discussed herein.