论文标题
在4D中不可逆转的对称性的6D起源
On the 6d Origin of Non-invertible Symmetries in 4d
论文作者
论文摘要
众所周知，可以利用六维超符合场理论来解除通过紧凑型获得的低维理论的有趣特征。在此简短的说明中，我们讨论了6D（2,0）理论在构建4D理论的新应用，并使用类似Kramers-Wannier的不可变形对称性。我们的方法允许恢复先前已知的结果，并显示出具有“ M-性”缺陷的四个维度理论的无限新示例（源于$ m $ clemitization dualities的操作）。特别是，我们获得了$ m = p^k $的订单示例，其中$ p> 1 $是质量数字，$ k $是一个正整数。
It is well-known that six-dimensional superconformal field theories can be exploited to unravel interesting features of lower-dimensional theories obtained via compactifications. In this short note we discuss a new application of 6d (2,0) theories in constructing 4d theories with Kramers-Wannier-like non-invertible symmetries. Our methods allow to recover previously known results, as well as to exhibit infinitely many new examples of four dimensional theories with "M-ality" defects (arising from operations of order $M$ generalizing dualities). In particular, we obtain examples of order $M=p^k$, where $p>1$ is a prime number and $k$ is a positive integer.
