论文标题
Sl $（2，\ Mathbb {z}）$在量子场理论上使用U（1）子系统对称性
SL$(2,\mathbb{Z})$ action on quantum field theories with U(1) subsystem symmetry
论文作者
论文摘要
我们考虑使用五个维度的U（1）子系统对称性对量子字段理论上的sl $（2，\ mathbb {z}）$动作。这是SL $（2，\ Mathbb {Z}）$ Action的类似物：Arxiv：Hepth/0307041中考虑的操作。我们表明，外来的1级BF理论和外来的1级Chern-Simons理论分别是微不足道的，几乎是微不足道的。通过使用此事实，我们定义了S操作和T操作。这些操作使SL $（2，\ Mathbb {Z}）$组成一个可能的可逆阶段，该阶段是本文处理的太空时间内的统一阶段。我们还演示了$φ$理论上的sl $（2，\ mathbb {z}）$动作。
We consider SL$(2,\mathbb{Z})$ action on quantum field theories with U(1) subsystem symmetry in five dimensions. This is an analog of the SL$(2,\mathbb{Z})$ action considered in arXiv:hep-th/0307041. We show that the exotic level 1 BF theory and the exotic level 1 Chern-Simons theories are trivial and almost trivial, respectively. By using this fact, we define S operation and T operation. These operations make SL$(2,\mathbb{Z})$ group up to a possible invertible phase that is unity within the space-times treated in this paper. We also demonstrate SL$(2,\mathbb{Z})$ action on the $φ$ theory as an example.
