论文标题
频谱的离散测量和完整性的不可变形对称性
Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum
论文作者
论文摘要
我们研究了基于断开量规组的量规理论的全局1-和$（D-2）$ - 形式的对称性，包括电荷共轭。对于纯仪表理论，1形式的对称性被证明是不可抑制的。此外，作为量规组断开连接，这些理论会自动具有$ \ mathbb {z} _2 $ global $（d-2）$ - 形式对称性。我们建议基于这些群体的量表理论的弦理论嵌入。值得注意的是，它们都会自动带有打破$（D-2）$的扭曲涡流 - 形成全球对称性。这与量子重力中全局对称性的猜想不存在一致。
We study global 1- and $(d-2)$-form symmetries for gauge theories based on disconnected gauge groups which include charge conjugation. For pure gauge theories, the 1-form symmetries are shown to be non-invertible. In addition, being the gauge groups disconnected, the theories automatically have a $\mathbb{Z}_2$ global $(d-2)$-form symmetry. We propose String Theory embeddings for gauge theories based on these groups. Remarkably, they all automatically come with twist vortices which break the $(d-2)$-form global symmetry. This is consistent with the conjectured absence of global symmetries in Quantum Gravity.
