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Title: Phases Of Adjoint QCD$$_3$$ And Dualities

Abstract

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.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Perimeter Institute
  2. Weizmann Institute of Science, Stony Brook University
  3. Institute for Advanced Study, Princeton University
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1461211
Grant/Contract Number:  
SC0009988
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 5 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Netherlands: N. p., 2018. Web. doi:10.21468/SciPostPhys.5.1.007.
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Gomis, Jaume, Komargodski, Zohar, & Seiberg, Nathan. Phases Of Adjoint QCD$_3$ And Dualities. Netherlands. doi:https://doi.org/10.21468/SciPostPhys.5.1.007
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Gomis, Jaume, Komargodski, Zohar, and Seiberg, Nathan. Mon . "Phases Of Adjoint QCD$_3$ And Dualities". Netherlands. doi:https://doi.org/10.21468/SciPostPhys.5.1.007.
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@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 Proceedings},
number = 1,
volume = 5,
place = {Netherlands},
year = {2018},
month = {7}
}
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DOI: https://doi.org/10.21468/SciPostPhys.5.1.007
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