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Title: Exceptional Chern-Simons-Matter dualities

Abstract

We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is ( E N ) 1 ↔ S U ( 9 - N ) - 1 . Others such as S O ( 3 ) 8 ↔ P S U ( 3 ) - 6 , are dualities among theories with classical gauge groups that arise dueto their embedding into an exceptional chiral algebra. We apply these equivalences between topological field theories to conjecture new boson-boson Chern-Simons-matter dualities. We also use them to determine candidate phase diagrams of time-reversal invariant G 2 gauge theory coupled to either an adjoint fermion, or two fundamental fermions.

Authors:
 [1];  [2];  [1]
+ Show Author Affiliations
  1. Institute for Advanced Study, Princeton University
  2. Walter Burke Institute for Theoretical Physics
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States); Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
OSTI Identifier:
1572130
Alternate Identifier(s):
OSTI ID: 1599380
Grant/Contract Number:  
SC0011632; SC0009988; PHY-1606531
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2542-4653
Publisher:
SciPost Foundation
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cordova, Clay, Hsin, Po-Shen, and Ohmori, Kantaro. Exceptional Chern-Simons-Matter dualities. Netherlands: N. p., 2019. Web. doi:10.21468/SciPostPhys.7.4.056.
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Cordova, Clay, Hsin, Po-Shen, & Ohmori, Kantaro. Exceptional Chern-Simons-Matter dualities. Netherlands. doi:10.21468/SciPostPhys.7.4.056.
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Cordova, Clay, Hsin, Po-Shen, and Ohmori, Kantaro. Mon . "Exceptional Chern-Simons-Matter dualities". Netherlands. doi:10.21468/SciPostPhys.7.4.056.
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@article{osti_1572130,
title = {Exceptional Chern-Simons-Matter dualities},
author = {Cordova, Clay and Hsin, Po-Shen and Ohmori, Kantaro},
abstractNote = {We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is (EN)1↔SU(9-N)-1. Others such as SO(3)8↔PSU(3)-6, are dualities among theories with classical gauge groups that arise dueto their embedding into an exceptional chiral algebra. We apply these equivalences between topological field theories to conjecture new boson-boson Chern-Simons-matter dualities. We also use them to determine candidate phase diagrams of time-reversal invariant G2 gauge theory coupled to either an adjoint fermion, or two fundamental fermions.},
doi = {10.21468/SciPostPhys.7.4.056},
journal = {SciPost Physics Proceedings},
number = 4,
volume = 7,
place = {Netherlands},
year = {2019},
month = {10}
}
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DOI: 10.21468/SciPostPhys.7.4.056
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