论文标题
连续的广义对称性在三个维度
Continuous Generalized Symmetries in Three Dimensions
论文作者
论文摘要
我们提出了一类三维量子场理论，它们的普通全局对称性与更高形式的对称性混合在一起，形成连续的2组。所有这些模型都可以通过在父理论中执行测量程序来获得，该过程在激活合适的紧凑型标量背景字段时揭示耦合常数空间的Hooft异常。此外，测量程序还意味着我们的主要示例具有无限的许多不可逆转的全局对称性。这些可以通过将连续的对称算子与拓扑量子场理论涂抹来获得。最后，我们通过在动态规范字段中引入相应的四维体积描述，对这里讨论的2组全局对称性和不可变形对称性的全息实现进行评论。
We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent theory revealing a 't Hooft anomaly in the space of coupling constants when suitable compact scalar background fields are activated. Furthermore, the gauging procedure also implies that our main example has infinitely many non-invertible global symmetries. These can be obtained by dressing the continuous symmetry operators with topological quantum field theories. Finally, we comment on the holographic realization of both 2-group global symmetries and non-invertible symmetries discussed here by introducing a corresponding four-dimensional bulk description in terms of dynamical gauge fields.
