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Exotic Invertible Phases with Higher-Group Symmetries

Hsin, Po-Shen and Ji, Wenjie and Jian, Chao-Ming (2021) Exotic Invertible Phases with Higher-Group Symmetries. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210629-195551413

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Abstract

We investigate a family of invertible phases of matter with higher-dimensional exotic excitations in even spacetime dimensions, which includes and generalizes the Kitaev's chain in 1+1d. The excitation has Z₂ higher-form symmetry that mixes with the spacetime Lorentz symmetry to form a higher group spacetime symmetry. We focus on the invertible exotic loop topological phase in 3+1d. This invertible phase is protected by the Z₂ one-form symmetry and the time-reversal symmetry, and has surface thermal Hall conductance not realized in conventional time-reversal symmetric ordinary bosonic systems without local fermion particles and the exotic loops. We describe a UV realization of the invertible exotic loop topological order using the SO(3)− gauge theory with unit discrete theta parameter, which enjoys the same spacetime two-group symmetry. We discuss several applications including the analogue of "fermionization" for ordinary bosonic theories with Z₂ non-anomalous internal higher-form symmetry and time-reversal symmetry.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/2105.09454arXivDiscussion Paper
ORCID:
AuthorORCID
Hsin, Po-Shen0000-0002-4764-1476
Additional Information:Attribution 4.0 International (CC BY 4.0). We thank Xie Chen, Anton Kapustin, Juven Wang for discussions. We thank Cenke Xu for discussions and participation in the early stage of the project. We thank Meng Cheng and Anton Kapustin for comments on a draft. 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 No. DE-SC0011632, and by the Simons Foundation through the Simons Investigator Award. The work of WJ is supported by NSF Grant No. DMR-1920434, the David and Lucile Packard Foundation, and the Simons Foundation.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
NSFDMR-1920434
David and Lucile Packard FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2021-021
Record Number:CaltechAUTHORS:20210629-195551413
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210629-195551413
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109650
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Jun 2021 22:36
Last Modified:29 Jun 2021 22:36

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