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}\leftrightarrow SU(9-N)_{-1} . Others such as SO(3)_{8}\leftrightarrow 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 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:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1572130
- Grant/Contract Number:
- SC0009988; SC0011632
- 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:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
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.
Cordova, Clay, Hsin, Po-Shen, & Ohmori, Kantaro. Exceptional Chern-Simons-Matter dualities. Netherlands. doi:10.21468/SciPostPhys.7.4.056.
Cordova, Clay, Hsin, Po-Shen, and Ohmori, Kantaro. Mon .
"Exceptional Chern-Simons-Matter dualities". Netherlands. doi:10.21468/SciPostPhys.7.4.056.
@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 (E_{N})_{1}\leftrightarrow SU(9-N)_{-1} ( E N ) 1 ↔ S U ( 9 − N ) − 1 . Others such as SO(3)_{8}\leftrightarrow PSU(3)_{-6}, S O ( 3 ) 8 ↔ P S U ( 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 G_{2} G 2 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}
}
DOI: 10.21468/SciPostPhys.7.4.056
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