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Title: Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional 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 ( 1 ) symmetry and in a followup paper we will study models with a global \mathbb{Z}_N N symmetry.

Authors:
 [1];  [1]
  1. 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 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Seiberg, Nathan, and Shao, Shu-Heng. Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.9.4.046.
Seiberg, Nathan, & Shao, Shu-Heng. Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands. doi:10.21468/SciPostPhys.9.4.046.
Seiberg, Nathan, and Shao, Shu-Heng. Mon . "Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory". Netherlands. doi:10.21468/SciPostPhys.9.4.046.
@article{osti_1670220,
title = {Exotic $U(1)$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory},
author = {Seiberg, Nathan and Shao, Shu-Heng},
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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.21468/SciPostPhys.9.4.046

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