Exceptional ChernSimonsMatter dualities
Abstract
We use conformal embeddings involving exceptional affine KacMoody algebras to derive new dualities of threedimensional topological field theories. These generalize the familiar levelrank duality of ChernSimons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is $({E}_{N}{)}_{1}\leftrightarrow SU(9N{)}_{1}$. Others such as $SO(3{)}_{8}\leftrightarrow PSU(3{)}_{6},$ 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 bosonboson ChernSimonsmatter dualities. We also use them to determine candidate phase diagrams of timereversal invariant ${G}_{2}$ gauge theory coupled to either an adjoint fermion, or two fundamental fermions.
 Authors:

 Institute for Advanced Study, Princeton University
 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; PHY1606531
 Resource Type:
 Published Article
 Journal Name:
 SciPost Physics
 Additional Journal Information:
 Journal Name: SciPost Physics Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 25424653
 Publisher:
 SciPost Foundation
 Country of Publication:
 Netherlands
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cordova, Clay, Hsin, PoShen, and Ohmori, Kantaro. Exceptional ChernSimonsMatter dualities. Netherlands: N. p., 2019.
Web. doi:10.21468/SciPostPhys.7.4.056.
Cordova, Clay, Hsin, PoShen, & Ohmori, Kantaro. Exceptional ChernSimonsMatter dualities. Netherlands. https://doi.org/10.21468/SciPostPhys.7.4.056
Cordova, Clay, Hsin, PoShen, and Ohmori, Kantaro. Mon .
"Exceptional ChernSimonsMatter dualities". Netherlands. https://doi.org/10.21468/SciPostPhys.7.4.056.
@article{osti_1572130,
title = {Exceptional ChernSimonsMatter dualities},
author = {Cordova, Clay and Hsin, PoShen and Ohmori, Kantaro},
abstractNote = {We use conformal embeddings involving exceptional affine KacMoody algebras to derive new dualities of threedimensional topological field theories. These generalize the familiar levelrank duality of ChernSimons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is (EN)1↔SU(9N)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 bosonboson ChernSimonsmatter dualities. We also use them to determine candidate phase diagrams of timereversal invariant G2 gauge theory coupled to either an adjoint fermion, or two fundamental fermions.},
doi = {10.21468/SciPostPhys.7.4.056},
journal = {SciPost Physics},
number = 4,
volume = 7,
place = {Netherlands},
year = {2019},
month = {10}
}
https://doi.org/10.21468/SciPostPhys.7.4.056
Web of Science
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