Exotic $U(1)$ symmetries, duality, and fractons in 3+1dimensional quantum field theory
Abstract
We extend our exploration of nonstandard continuum quantum field theories in 2+1 $2+1$ dimensions to 3+1 $3+1$ 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) $U\left(1\right)$ symmetry and in a followup paper we will study models with a global \mathbb{Z}_N ${\mathbb{Z}}_{N}$ symmetry.
 Authors:

 Institute for Advanced Study, Princeton University
 Publication Date:
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1670220
 Grant/Contract Number:
 SC0009988
 Resource Type:
 Published Article
 Journal Name:
 SciPost Physics Proceedings
 Additional Journal Information:
 Journal Name: SciPost Physics Proceedings Journal Volume: 9 Journal Issue: 4; Journal ID: ISSN 25424653
 Publisher:
 Stichting SciPost
 Country of Publication:
 Netherlands
 Language:
 English
Citation Formats
Seiberg, Nathan, and Shao, ShuHeng. Exotic $U(1)$ symmetries, duality, and fractons in 3+1dimensional quantum field theory. Netherlands: N. p., 2020.
Web. doi:10.21468/SciPostPhys.9.4.046.
Seiberg, Nathan, & Shao, ShuHeng. Exotic $U(1)$ symmetries, duality, and fractons in 3+1dimensional quantum field theory. Netherlands. https://doi.org/10.21468/SciPostPhys.9.4.046
Seiberg, Nathan, and Shao, ShuHeng. Mon .
"Exotic $U(1)$ symmetries, duality, and fractons in 3+1dimensional quantum field theory". Netherlands. https://doi.org/10.21468/SciPostPhys.9.4.046.
@article{osti_1670220,
title = {Exotic $U(1)$ symmetries, duality, and fractons in 3+1dimensional quantum field theory},
author = {Seiberg, Nathan and Shao, ShuHeng},
abstractNote = {We extend our exploration of nonstandard continuum quantum field theories in 2+1 2 + 1 dimensions to 3+1 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) U ( 1 ) symmetry and in a followup paper we will study models with a global \mathbb{Z}_N ℤ N symmetry.},
doi = {10.21468/SciPostPhys.9.4.046},
journal = {SciPost Physics Proceedings},
number = 4,
volume = 9,
place = {Netherlands},
year = {2020},
month = {10}
}
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