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Comments on Foliated Gauge Theories and Dualities in 3+1d

Hsin, Po-Shen and Slagle, Kevin (2021) Comments on Foliated Gauge Theories and Dualities in 3+1d. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210720-231639500

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Abstract

We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models. These field theories describe Abelian or non-Abelian gauge theories coupled to foliated gauge fields, and they fall into two classes of models that we call the electric models and the magnetic models. We show that these two classes of foliated field theories enjoy a duality. We also construct a model (using foliated gauge fields and an exactly solvable lattice Hamiltonian model) for a subsystem-symmetry protected topological (SSPT) phase, which is analogous to a one-form symmetry protected topological phase, with the subsystem symmetry acting on codimension-two subregions. We construct the corresponding gauged SSPT phase as a foliated two-form gauge theory. Some instances of the gauged SSPT phase are a variant of the X-cube model with the same ground state degeneracy and the same fusion, but different particle statistics.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2105.09363arXivDiscussion Paper
ORCID:
AuthorORCID
Hsin, Po-Shen0000-0002-4764-1476
Slagle, Kevin0000-0002-8036-3447
Additional Information:We thank Xie Chen, Hotat Lam, Nathan Seiberg, Shu-Heng Shao, Wilbur Shirley, and Nathanan Tantivasadakarn for discussions. The work of P.-S. H. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, and by the Simons Foundation through the Simons Investigator Award. K.S. is supported by the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2021-022
Record Number:CaltechAUTHORS:20210720-231639500
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210720-231639500
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109950
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:21 Jul 2021 16:04
Last Modified:21 Jul 2021 16:04

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