Kapustin, Anton (2014) Bosonic Topological Insulators and Paramagnets: a view from cobordisms. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20160504-111658328
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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.
Item Type: | Report or Paper (Discussion Paper) | ||||||
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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. | ||||||
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Record Number: | CaltechAUTHORS:20160504-111658328 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160504-111658328 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 66656 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Ruth Sustaita | ||||||
Deposited On: | 04 May 2016 19:48 | ||||||
Last Modified: | 03 Oct 2019 09:58 |
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