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Exceptional Chern-Simons-Matter dualities

Córdova, Clay and Hsin, Po-Shen and Ohmori, Kantaro (2019) Exceptional Chern-Simons-Matter dualities. SciPost Physics, 7 (4). Art. No. 056. ISSN 2542-4653. doi:10.21468/scipostphys.7.4.056.

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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↔SU(9−N)₋₁.Others such as SO(3)₈↔PSU(3)₋₆, are dualities among theories with classical gauge groups that arise due to 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 G2G2 gauge theory coupled to either an adjoint fermion, or two fundamental fermions.

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Additional Information:© 2019 C. Córdova et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 31-07-2019; Accepted 18-10-2019; Published 28-10-2019. We thank N. Seiberg for discussions. C.C. is supported by DOE grant de-sc0009988. P.-S.H. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, and by the Simons Foundation through the Simons Investigator Award. K.O. is supported by NSF Grant PHY-1606531 and the Paul Dirac fund.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009988
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
Subject Keywords:Chern-Simons theory; Dualities; Gauge theory
Issue or Number:4
Record Number:CaltechAUTHORS:20191223-143452847
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100418
Deposited By: Tony Diaz
Deposited On:23 Dec 2019 23:21
Last Modified:16 Nov 2021 17:53

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