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Title: Exotic $$\mathbb{Z}_N$$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory

Abstract

Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.

Authors:
 [1];  [1]
  1. Institute for Advanced Study, Princeton University
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Simons Foundation
OSTI Identifier:
1756198
Alternate Identifier(s):
OSTI ID: 1851251
Grant/Contract Number:  
SC0009988; 651440
Resource Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 10 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats

Seiberg, Nathan, and Shao, Shu-Heng. Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands: N. p., 2021. Web. doi:10.21468/SciPostPhys.10.1.003.
Seiberg, Nathan, & Shao, Shu-Heng. Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory. Netherlands. https://doi.org/10.21468/SciPostPhys.10.1.003
Seiberg, Nathan, and Shao, Shu-Heng. Fri . "Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory". Netherlands. https://doi.org/10.21468/SciPostPhys.10.1.003.
@article{osti_1756198,
title = {Exotic $\mathbb{Z}_N$ symmetries, duality, and fractons in 3+1-dimensional quantum field theory},
author = {Seiberg, Nathan and Shao, Shu-Heng},
abstractNote = {Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.},
doi = {10.21468/SciPostPhys.10.1.003},
journal = {SciPost Physics},
number = 1,
volume = 10,
place = {Netherlands},
year = {Fri Jan 08 00:00:00 EST 2021},
month = {Fri Jan 08 00:00:00 EST 2021}
}

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