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Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology

Kapustin, Anton and Thorngren, Ryan (2014) Anomalous Discrete Symmetries in Three Dimensions and Group Cohomology. Physical Review Letters, 112 (23). Art. No. 231602. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20140710-133720286

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Abstract

We study ’t Hooft anomalies for a global discrete internal symmetry G . We construct examples of bosonic field theories in three dimensions with a nonvanishing ’t Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G_1×G_2 such that gauging G_1 necessarily breaks G_2 and vice versa. This is analogous to the Adler-Bell-Jackiw axial anomaly in four dimensions and parity anomaly in three dimensions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1403.0617arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevLett.112.231602 DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.231602PublisherArticle
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Thorngren, Ryan0000-0001-9433-3399
Additional Information:© 2014 American Physical Society. Received 11 March 2014; published 13 June 2014. We are grateful to T. Senthil, E. Witten, N. Seiberg, V. Ostrik, and P. Etingof for discussions. The work of A. K. was supported in part by the DOE Grant No. DE-FG02- 92ER40701. Note added.—After this paper appeared on the electronic preprint archive, we learned that related results have been obtained by Cho et al. [16].
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Classification Code:PACS: 11.10.Kk, 11.30.Er, 11.30.Qc
Record Number:CaltechAUTHORS:20140710-133720286
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140710-133720286
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47148
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Jul 2014 20:53
Last Modified:27 Oct 2017 18:43

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