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Foliated fracton order from gauging subsystem symmetries
by Wilbur Shirley, Kevin Slagle, Xie Chen
Submission summary
| Authors (as registered SciPost users): | Xie Chen · Wilbur Shirley · Kevin Slagle |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1806.08679v2 (pdf) |
| Date accepted: | March 25, 2019 |
| Date submitted: | March 13, 2019, 1 a.m. |
| Submitted by: | Kevin Slagle |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
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.
Published as SciPost Phys. 6, 041 (2019)