论文标题
6D和5D理论的较高形式对称性
Higher-form symmetries of 6d and 5d theories
论文作者
论文摘要
我们描述了确定已知5D和6D超符号野外理论（SCFTS）和6D小字符串理论（LSTS）的更高形式对称组的一般方法。 6D理论可以描述为6D中的超对称规格理论，其中包括普通的非阿贝尔1型仪表田和Abelian 2型仪表场。同样，5D理论也可以被描述为5D中的超对称非亚伯仪理论。天真地，这些6D和5D理论的1形对称性是由普通量规组中心的那些元素捕获的，这些中心将量规理论的物质内容不变。然而，一个有趣的微妙之处是通过以下事实表明，一些大规模的BPS激发（包括BPS Instantons）在量规组的中心下方充电，从而导致1形对称性的进一步降低。我们在M/F理论中使用这些理论的几何结构来确定中心下方这些BPS激发的电荷。我们还提供了一种独立的算法，用于确定接受通用曲折构造的5D理论的1形对称性。另一方面，由6D理论组成的2形对称组是由Abelian 2form仪表组的那些元素捕获的，这些元素留下了所有巨大的BPS弦激发不变的不变性，因为它在与6D理论相关的绿色 - 奇数coupling中编码时，它更加直接地计算。
We describe general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs), and 6d little string theories (LSTs). The 6d theories can be described as supersymmetric gauge theories in 6d which include both ordinary non-abelian 1-form gauge fields and also abelian 2-form gauge fields. Similarly, the 5d theories can also be often described as supersymmetric non-abelian gauge theories in 5d. Naively, the 1-form symmetry of these 6d and 5d theories is captured by those elements of the center of ordinary gauge group which leave the matter content of the gauge theory invariant. However, an interesting subtlety is presented by the fact that some massive BPS excitations, which includes the BPS instantons, are charged under the center of the gauge group, thus resulting in a further reduction of the 1-form symmetry. We use the geometric construction of these theories in M/F-theory to determine the charges of these BPS excitations under the center. We also provide an independent algorithm for the determination of 1-form symmetry for 5d theories that admit a generalized toric construction. The 2-form symmetry group of 6d theories, on the other hand, is captured by those elements of the center of the abelian 2-form gauge group that leave all the massive BPS string excitations invariant, which is much more straightforward to compute as it is encoded in the Green-Schwarz coupling associated to the 6d theory.
