Published November 14, 2014
| Version Submitted
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Bosonic Topological Insulators and Paramagnets: a view from cobordisms
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Abstract
We classify Bosonic Topological Insulators and Paramagnets in D ≤ 4 spatial dimensions using the cobordism approach. For D < 4 we confirm that the only such phase which does not fit into the group cohomology classification is the 3D Bosonic Topological Insulator protected by time-reversal symmetry whose surface admits an all-fermion topologically ordered state. For D = 4 there is a unique "beyond group cohomology" phase. It is protected by gravitational anomalies of the boundary theory and is stable without any additional symmetry.
Additional Information
(Submitted on 26 Apr 2014 (v1), last revised 14 Nov 2014 (this version, v2)). November 17, 2014. I am grateful to Ryan Thorngren for discussions and to Ashvin Vishwanath for patiently answering my questions regarding Symmetry Protected Topological Phases. I also would like to acknowledge discussions with Xiao-Gang Wen which helped me to find an error in the first version of the paper. This work was supported in part by the DOE grant DE-FG02-92ER40701.Attached Files
Submitted - 1404.6659.pdf
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1404.6659.pdf
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- Eprint ID
- 66656
- Resolver ID
- CaltechAUTHORS:20160504-111658328
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- Describes
- http://arxiv.org/abs/1404.6659 (URL)
Funding
- Department of Energy (DOE)
- DE-FG02-92ER40701
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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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