论文标题
关于6D全球量表异常的一些评论
Some comments on 6d global gauge anomalies
论文作者
论文摘要
$ g = su（2）$（2）$，$ su（3）$和$ g_2 $的全球量规异常与非平凡同型$π_6（g）$相关的$ 6D $和$ g_2 $。但是，在现代的界异常的观点中，它们来自bordism组$ω^\ text {spin} _7（bg）$，实际上是微不足道的，因此排除了它们的存在。取而代之的是，人们注意到，对$ 6D $绿色 - 绿色的机制的适当处理可再现源自$π_6（g）$的相同异常取消条件。在本文中，我们重新访问并阐明了这两种不同方法之间的关系。
Global gauge anomalies in $6d$ associated with non-trivial homotopy groups $π_6(G)$ for $G=SU(2)$, $SU(3)$, and $G_2$ were computed and utilized in the past. In the modern bordism point of view of anomalies, however, they come from the bordism groups $Ω^\text{spin}_7(BG)$, which are in fact trivial and therefore preclude their existence. Instead, it was noticed that a proper treatment of the $6d$ Green-Schwarz mechanism reproduces the same anomaly cancellation conditions derived from $π_6(G)$. In this paper, we revisit and clarify the relation between these two different approaches.
