Phases Of Adjoint QCD$$_3$$ And Dualities
We study 2+1 dimensional gauge theories with a ChernSimons 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 ChernSimons 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 fermionfermion dualities involving SU $SU$ , SO $SO$ , and Sp $Sp$ gauge theories. It also leads us to suggest a phase diagram of SO/Sp $SO/Sp$ 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 25424653
 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 ChernSimons 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 ChernSimons 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 fermionfermion 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}
}