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Foliated fracton order from gauging subsystem symmetries

by Wilbur Shirley, Kevin Slagle, Xie Chen

Submission summary

As Contributors: Xie Chen · Wilbur Shirley · Kevin Slagle
Arxiv Link: (pdf)
Date accepted: 2019-03-25
Date submitted: 2019-03-13 01:00
Submitted by: Slagle, Kevin
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


Based on several previous examples, we summarize explicitly the general procedure to gauge models with subsystem symmetries, which are symmetries with generators that have support within a sub-manifold of the system. The gauging process can be applied to any local quantum model on a lattice that is invariant under the subsystem symmetry. We focus primarily on simple 3D paramagnetic states with planar symmetries. For these systems, the gauged theory may exhibit foliated fracton order and we find that the species of symmetry charges in the paramagnet directly determine the resulting foliated fracton order. Moreover, we find that gauging linear subsystem symmetries in 2D or 3D models results in a self-duality similar to gauging global symmetries in 1D.

Ontology / Topics

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Gauge symmetry

Published as SciPost Phys. 6, 041 (2019)

Author comments upon resubmission

We would like to thank the editor and referees for reviewing our manuscript. We have replied to the referee reports using SciPost comments and have improved our manuscript with their suggestions.

List of changes

1) As suggested, we added some discussion to the end of Section 3.1.
2) We improved the signposting in Section 4 by reorganized the examples into two subsections with additional introductory text at the beginning of each subsection.
3) A row was added to Table 1.
4) Appendix B was moved from the main text to the Appendix.

Reports on this Submission

Anonymous Report 1 on 2019-3-21 (Invited Report)


The authors have now reorganized the text in several ways to make the presentation more logical, and they have addressed my earlier comments on tensor gauge theories. The paper is well-written and of very good scientific quality. As such, I can recommend its acceptance for publication by SciPost.

  • validity: high
  • significance: good
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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