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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
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.

Reports on this Submission

Anonymous Report 2 on 2020-9-14 Invited Report

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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Anonymous Report 1 on 2020-9-8 Invited Report

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.

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