Phases Of Adjoint QCD$$_3$$ And Dualities
We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a function of the gauge group, the Chern-Simons level k , and the fermion mass. We propose an inherently quantum mechanical phase of adjoint QCD with small enough k , where the infrared is described by a certain Topological Quantum Field Theory (TQFT). For a special choice of the mass, the theory has {\cal N}=1 supersymmetry. There this TQFT is accompanied by a massless Majorana fermion – a Goldstino signaling spontaneous supersymmetry breaking. Our analysis leads us to conjecture a number of new infrared fermion-fermion dualities involving SU , SO , and Sp gauge theories. It also leads us to suggest a phase diagram of SO/Sp gauge theories with a fermion in the traceless symmetric/antisymmetric tensor representation of the gauge group.
- Authors:
-
[1]
; [2]
; [3]
- Perimeter Institute
- Weizmann Institute of Science, Stony Brook University
- Institute for Advanced Study, Princeton University
- Publication Date:
- Grant/Contract Number:
- SC0009988
- Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 5 Journal Issue: 1; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Sponsoring Org:
- USDOE
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
- OSTI Identifier:
- 1461211
Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Country unknown/Code not available: N. p.,
Web. doi:10.21468/SciPostPhys.5.1.007.
Gomis, Jaume, Komargodski, Zohar, & Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Country unknown/Code not available. doi:10.21468/SciPostPhys.5.1.007.
Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. 2018.
"Phases Of Adjoint QCD$_3$ And Dualities". Country unknown/Code not available.
doi:10.21468/SciPostPhys.5.1.007.
@article{osti_1461211,
title = {Phases Of Adjoint QCD$_3$ And Dualities},
author = {Gomis, Jaume and Komargodski, Zohar and Seiberg, Nathan},
abstractNote = {We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a function of the gauge group, the Chern-Simons level k k , and the fermion mass. We propose an inherently quantum mechanical phase of adjoint QCD with small enough k k , where the infrared is described by a certain Topological Quantum Field Theory (TQFT). For a special choice of the mass, the theory has {\cal N}=1 supersymmetry. There this TQFT is accompanied by a massless Majorana fermion – a Goldstino signaling spontaneous supersymmetry breaking. Our analysis leads us to conjecture a number of new infrared fermion-fermion dualities involving SU S U , SO S O , and Sp S p gauge theories. It also leads us to suggest a phase diagram of SO/Sp S O / S p gauge theories with a fermion in the traceless symmetric/antisymmetric tensor representation of the gauge group.},
doi = {10.21468/SciPostPhys.5.1.007},
journal = {SciPost Physics},
number = 1,
volume = 5,
place = {Country unknown/Code not available},
year = {2018},
month = {7}
}