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Bosonic Topological Insulators and Paramagnets: a view from cobordisms

Kapustin, Anton (2014) Bosonic Topological Insulators and Paramagnets: a view from cobordisms. . (Submitted)

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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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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
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.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Record Number:CaltechAUTHORS:20160504-111658328
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66656
Deposited By: Ruth Sustaita
Deposited On:04 May 2016 19:48
Last Modified:03 Oct 2019 09:58

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