Published November 2021
| Version Submitted + Published
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An index for two-dimensional SPT states
Abstract
We define an index for 2D G-invariant invertible states of bosonic lattice systems in the thermodynamic limit for a finite symmetry group G with a unitary action. We show that this index is an invariant of the symmetry protected phase.
Additional Information
© 2021 Published under an exclusive license by AIP Publishing. Submitted: 1 May 2021; Accepted: 10 October 2021; Published Online: 1 November 2021. I would like to thank Anton Kapustin for many inspiring discussions and comments on the draft. This research was supported, in part, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. The authors have no conflicts to disclose. Data Availability: Data sharing is not applicable to this article as no new data were created or analyzed in this study.Attached Files
Published - 111901_1_online.pdf
Submitted - 2101-00801.pdf
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111901_1_online.pdf
Additional details
Identifiers
- Eprint ID
- 111919
- Resolver ID
- CaltechAUTHORS:20211117-172555259
Related works
- Describes
- 10.48550/arXiv.2106.15724 (DOI)
Funding
- Department of Energy (DOE)
- DE-SC0011632
Dates
- Created
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2021-11-17Created from EPrint's datestamp field
- Updated
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2023-10-05Created from EPrint's last_modified field