Published April 14, 2014
| Version Submitted
Discussion Paper
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Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology
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Abstract
We propose that Symmetry Protected Topological Phases with a finite symmetry group G are classified by cobordism groups of the classifying space of G. This provides an explanation for the recent discovery of bosonic SPT phases which do not fit into the group cohomology classification. We discuss the connection of the cobordism classification of SPT phases to gauge and gravitational anomalies in various dimensions.
Additional Information
(Submitted on 6 Mar 2014 (v1), last revised 14 Apr 2014 (this version, v3)). April 16, 2014. I am would like to thank Ryan Thorngren for a collaboration on a related project, Dan Freed for drawing my attention to cobordism groups, and John Morgan and Michael Hopkins for advice. I am especially grateful to Alexei Kitaev for pointing out a number of erroneous statements in the first version of the manuscript. This work was supported in part by the DOE grant DE-FG02-92ER40701.Attached Files
Submitted - 1403.1467.pdf
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1403.1467.pdf
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Identifiers
- Eprint ID
- 66638
- Resolver ID
- CaltechAUTHORS:20160504-095515747
Related works
- Describes
- http://arxiv.org/abs/1403.1467 (URL)
Funding
- Department of Energy (DOE)
- DE-FG02-92ER40701
Dates
- Created
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2016-05-04Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
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