论文标题
连续不可逆转对称性的金石定理
A Goldstone theorem for continuous non-invertible symmetries
论文作者
论文摘要
我们在不可固化的对称性方面研究具有Adler-Bell-Jackiw异常的系统。我们提出了一种新型的不可逆转电荷缺陷，其中局部在缺陷上的本地当前操作员扮演关键角色。电荷缺陷现在由连续$ u（1）$的元素标记。我们使用这种结构来证明戈德斯通定理的类似于这种不可变形的对称性。我们对字符串理论的可能应用发表评论。
We study systems with an Adler-Bell-Jackiw anomaly in terms of non-invertible symmetry. We present a new kind of non-invertible charge defect where a key role is played by a local current operator localized on the defect. The charge defects are now labeled by elements of a continuous $U(1)$. We use this construction to prove an analogue of Goldstone's theorem for such non-invertible symmetries. We comment on possible applications to string theory.
