论文标题
3+1维量子场理论中的异国情调$ u（1）$对称性，二元性和分布
Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
论文作者
论文摘要
我们将在2+1维中的非标准连续量子场理论扩展到3+1维度。这些理论表现出异国情调的全球对称性，带电状态的特殊范围，异常的规格对称性和令人惊讶的二元性。我们研究的许多系统都有已知的晶格结构。特别是，其中之一是已知的无间隙分裂模型。这里的新颖性在于他们的连续田间理论描述。在本文中，我们专注于具有全局$ u（1）$对称性的模型，在后续文件中，我们将使用全局$ \ mathbb {z} _n $对称性来研究模型。
We extend our exploration of nonstandard continuum quantum field theories in 2+1 dimensions to 3+1 dimensions. These theories exhibit exotic global symmetries, a peculiar spectrum of charged states, unusual gauge symmetries, and surprising dualities. Many of the systems we study have a known lattice construction. In particular, one of them is a known gapless fracton model. The novelty here is in their continuum field theory description. In this paper, we focus on models with a global $U(1)$ symmetry and in a followup paper we will study models with a global $\mathbb{Z}_N$ symmetry.
