## SciPost Submission Page

# Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory

### by Nathan Seiberg, Shu-Heng Shao

### Submission summary

As Contributors: | Shu-Heng Shao |

Arxiv Link: | https://arxiv.org/abs/2004.00015v2 (pdf) |

Date submitted: | 2020-06-09 |

Submitted by: | Shao, Shu-Heng |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Condensed Matter Physics - Theory |

Approach: | Theoretical |

### Abstract

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.

###### Current status:

Editor-in-charge assigned