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Foliated fracton order from gauging subsystem symmetries

Shirley, Wilbur and Slagle, Kevin and Chen, Xie (2019) Foliated fracton order from gauging subsystem symmetries. SciPost Physics, 6 (4). Art. No. 041. ISSN 2542-4653. http://resolver.caltech.edu/CaltechAUTHORS:20181023-140032523

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.21468/SciPostPhys.6.4.041DOIArticle
https://arxiv.org/abs/1806.08679arXivDiscussion Paper
ORCID:
AuthorORCID
Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2019 W. Shirley et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 27-11-2018; Accepted 25-03-2019; Published 02-04-2019. W.S. and X.C. are supported by the National Science Foundation under award number DMR-1654340 and the Institute for Quantum Information and Matter at Caltech. X.C. is also supported by the Alfred P. Sloan research fellowship and the Walter Burke Institute for Theoretical Physics at Caltech. K.S. is grateful for support from the NSERC of Canada, the Center for Quantum Materials at the University of Toronto, and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1654340
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Record Number:CaltechAUTHORS:20181023-140032523
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181023-140032523
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90375
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Oct 2018 22:09
Last Modified:20 May 2019 22:48

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