Published October 2017
| Published + Submitted
Journal Article
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Fermionic SPT phases in higher dimensions and bosonization
- Creators
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Kapustin, Anton
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Thorngren, Ryan
Chicago
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Abstract
We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the most general such phase can be obtained from a bosonic "shadow" by condensing both fermionic particles and strings.
Additional Information
© 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 12, 2017; Accepted: September 28, 2017; Published: October 11, 2017. A. K. would like to thank Greg Brumfiel, John Morgan and Anibal Medina for communicating to him some of their unpublished results. R. T. would like to thank Dominic Williamson, Dave Aasen, and Ethan Lake for many enlightening discussions. This paper was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of A. K. was also supported by the Simons Investigator Award. R. T. is supported by an NSF GRFP grant. A. K. and R. T. are grateful to KITP, Santa Barbara, for hospitality during the initial stages of this project.Attached Files
Published - 10.1007_JHEP10_2017_080.pdf
Submitted - 1701.08264.pdf
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10.1007_JHEP10_2017_080.pdf
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Additional details
- Eprint ID
- 78101
- Resolver ID
- CaltechAUTHORS:20170612-103422222
- Department of Energy (DOE)
- DE-SC0011632
- Simons Foundation
- NSF Graduate Research Fellowship
- Created
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2017-06-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics