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Foliated fracton order from gauging subsystem symmetries
by Wilbur Shirley, Kevin Slagle, Xie Chen
- Published as SciPost Phys. 6, 041 (2019)
|As Contributors:||Xie Chen · Wilbur Shirley · Kevin Slagle|
|Arxiv Link:||https://arxiv.org/abs/1806.08679v2 (pdf)|
|Date submitted:||2019-03-13 01:00|
|Submitted by:||Slagle, Kevin|
|Submitted to:||SciPost Physics|
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.
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Published as SciPost Phys. 6, 041 (2019)
Author comments upon resubmission
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.
Submission & Refereeing History
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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.