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

### Submission summary

 As Contributors: Shu-Heng Shao Preprint link: scipost_202009_00007v1 Date submitted: 2020-09-04 16:42 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

### Author comments upon resubmission

We would like to thank the referees and the editor for the helpful comments and suggestions. We have fixed many mistakes raised by the referees and clarified various discussions.

### Submission & Refereeing History

Resubmission scipost_202009_00007v1 on 4 September 2020
Submission 2004.00015v2 on 9 June 2020

## Reports on this Submission

### Report

The authors answers, and the associated changes to the manuscript, have clarified all issues raised in the previous report. I recommend publication without further changes.

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### Report

The authors have adequately responded to my questions/coments in the first report, and I recommend that the manuscript now be published without further changes.

• validity: -
• significance: -
• originality: -
• clarity: -
• formatting: -
• grammar: -