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Title: Field theories with a vector global symmetry

Abstract

Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a continuous global symmetry, whose charge is a spatial vector. We present several such symmetries and demonstrate them in concrete examples. They differ by the equations their Noether currents satisfy. Simple cases, other than the translation symmetry, are an ordinary (relativistic) one-form global symmetry and its nonrelativistic generalization. In the latter case the conserved charge is associated with a codimension-one spatial manifold, but it is not topological. More general examples involve charges that are integrated over the entire space. We also discuss the coupling of these systems to gauge fields for these symmetries. We relate our examples to known continuum and lattice constructions.

Authors:
 [1]
  1. Institute for Advanced Study, Princeton University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1608387
Grant/Contract Number:  
SC0009988
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 8 Journal Issue: 4; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Seiberg, Nathan. Field theories with a vector global symmetry. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.4.050.
Seiberg, Nathan. Field theories with a vector global symmetry. Netherlands. doi:https://doi.org/10.21468/SciPostPhys.8.4.050
Seiberg, Nathan. Fri . "Field theories with a vector global symmetry". Netherlands. doi:https://doi.org/10.21468/SciPostPhys.8.4.050.
@article{osti_1608387,
title = {Field theories with a vector global symmetry},
author = {Seiberg, Nathan},
abstractNote = {Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a continuous global symmetry, whose charge is a spatial vector. We present several such symmetries and demonstrate them in concrete examples. They differ by the equations their Noether currents satisfy. Simple cases, other than the translation symmetry, are an ordinary (relativistic) one-form global symmetry and its nonrelativistic generalization. In the latter case the conserved charge is associated with a codimension-one spatial manifold, but it is not topological. More general examples involve charges that are integrated over the entire space. We also discuss the coupling of these systems to gauge fields for these symmetries. We relate our examples to known continuum and lattice constructions.},
doi = {10.21468/SciPostPhys.8.4.050},
journal = {SciPost Physics Proceedings},
number = 4,
volume = 8,
place = {Netherlands},
year = {2020},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.21468/SciPostPhys.8.4.050

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Works referenced in this record:

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journal, September 2018


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Fractionalization in an easy-axis Kagome antiferromagnet
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Fractonic matter in symmetry-enriched U ( 1 ) gauge theory
journal, September 2019


Generalized global symmetries
journal, February 2015

  • Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)172

Fractons
journal, March 2019