论文标题
异常相互作用的代数
The algebra of anomaly interplay
论文作者
论文摘要
我们对（CO）Bordism进行了对本地和全球异常之间可能发生的相互作用的一般描述。从数学上讲，这种相互作用是在已知可逆场理论分类的短序列的非传统分裂中编码的。我们研究了2、4和6维中现象的各种例子。我们还描述了这种对异常相互作用的理解如何为基于旧方法的基于严格的bordism版本，用于计算由于Elitzur和Nair引起的全局异常（从相关理论中的局部异常开始）。
We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting of short exact sequences known to classify invertible field theories. We study various examples of the phenomenon in 2, 4, and 6 dimensions. We also describe how this understanding of anomaly interplay provides a rigorous bordism-based version of an old method for calculating global anomalies (starting from local anomalies in a related theory) due to Elitzur and Nair.
