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Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
by Nathan Seiberg, Shu-Heng Shao
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Nathan Seiberg · Shu-Heng Shao |
| Submission information | |
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| Preprint Link: | scipost_202009_00007v1 (pdf) |
| Date accepted: | 2020-09-28 |
| Date submitted: | 2020-09-04 16:42 |
| Submitted by: | Shao, Shu-Heng |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
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.
Published as SciPost Phys. 9, 046 (2020)