Emergent discrete 3-form symmetry and domain walls
Emergent discrete 3-form symmetry and domain walls
复制标题
新兴离散三型对称性和畴壁
DOI：
10.1016/j.physletb.2020.135290
复制
发表时间：
2020
影响因子：
4.4
通讯作者：
Yokokura Ryo
中科院分区：
文献类型：
--
作者：
Hidaka Yoshimasa;Nitta Muneto;Yokokura Ryo
我们证明了在（3+ 1）维中畴壁数为k的轴子模型，即含有k个轴子畴壁的周期标量场理论，除了传统的Zk 0-形式对称性外，还表现出当k> 1时的突现Zk 3-形式对称性.通过在标量场理论和3-形式规范场理论之间建立一个低能对偶变换，明确地显示了突现的3-形式对称性。我们进一步论证了突现的3-形式对称性是自发破缺的，这种破缺模式就是所谓的B型自发对称性破缺。讨论了畴壁相和拓扑有序相的异同点。
We show that axion models with the domain wall number k in (3+ 1) dimensions, ie, periodic scalar field theories admitting k axion domain walls, exhibit an emergent Z k 3-form symmetry for k> 1 in addition to a conventional Z k 0-form symmetry. The emergent 3-form symmetry is explicitly shown by establishing a low-energy dual transformation between the scalar field theory and a 3-form gauge theory. We further argue that the emergent 3-form symmetry is spontaneously broken, and the breaking pattern is so-called the type-B spontaneous symmetry breaking. We discuss similar and different points between the phase admitting the domain walls and topologically ordered phases.