Global Symmetries, Counterterms, and Duality in ChernSimons Matter Theories with Orthogonal Gauge Groups
Abstract
We study threedimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete \theta $\theta $ parameters, which control the weights in the sum over topologically distinct gauge bundles. We derive levelrank duality for these topological field theories. Our results may also be viewed as levelrank duality for SO(N)_{K} $SO(N{)}_{K}$ ChernSimons theory in the presence of background fields for discrete global symmetries. In particular, we include the required counterterms and analysis of the anomalies. We couple our theories to charged matter and determine how these counterterms are shifted by integrating out massive fermions. By gauging discrete global symmetries we derive new bosonfermion dualities for vector matter, and present the phase diagram of theories with twoindex tensor fermions, thus extending previous results for SO(N) $SO\left(N\right)$ to other global forms of the gauge group.
 Authors:

 Institute for Advanced Study, Princeton University
 Princeton University
 Publication Date:
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1435362
 Grant/Contract Number:
 SC0009988
 Resource Type:
 Published Article
 Journal Name:
 SciPost Physics Proceedings
 Additional Journal Information:
 Journal Name: SciPost Physics Proceedings Journal Volume: 4 Journal Issue: 4; Journal ID: ISSN 25424653
 Publisher:
 Stichting SciPost
 Country of Publication:
 Netherlands
 Language:
 English
Citation Formats
Cordova, Clay, Hsin, PoShen, and Seiberg, Nathan. Global Symmetries, Counterterms, and Duality in ChernSimons Matter Theories with Orthogonal Gauge Groups. Netherlands: N. p., 2018.
Web. doi:10.21468/SciPostPhys.4.4.021.
Cordova, Clay, Hsin, PoShen, & Seiberg, Nathan. Global Symmetries, Counterterms, and Duality in ChernSimons Matter Theories with Orthogonal Gauge Groups. Netherlands. doi:10.21468/SciPostPhys.4.4.021.
Cordova, Clay, Hsin, PoShen, and Seiberg, Nathan. Sun .
"Global Symmetries, Counterterms, and Duality in ChernSimons Matter Theories with Orthogonal Gauge Groups". Netherlands. doi:10.21468/SciPostPhys.4.4.021.
@article{osti_1435362,
title = {Global Symmetries, Counterterms, and Duality in ChernSimons Matter Theories with Orthogonal Gauge Groups},
author = {Cordova, Clay and Hsin, PoShen and Seiberg, Nathan},
abstractNote = {We study threedimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete \theta θ parameters, which control the weights in the sum over topologically distinct gauge bundles. We derive levelrank duality for these topological field theories. Our results may also be viewed as levelrank duality for SO(N)_{K} S O ( N ) K ChernSimons theory in the presence of background fields for discrete global symmetries. In particular, we include the required counterterms and analysis of the anomalies. We couple our theories to charged matter and determine how these counterterms are shifted by integrating out massive fermions. By gauging discrete global symmetries we derive new bosonfermion dualities for vector matter, and present the phase diagram of theories with twoindex tensor fermions, thus extending previous results for SO(N) S O ( N ) to other global forms of the gauge group.},
doi = {10.21468/SciPostPhys.4.4.021},
journal = {SciPost Physics Proceedings},
number = 4,
volume = 4,
place = {Netherlands},
year = {2018},
month = {4}
}
DOI: 10.21468/SciPostPhys.4.4.021
Web of Science
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