期刊
SCIPOST PHYSICS
卷 5, 期 1, 页码 -出版社
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.5.1.007
关键词
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资金
- DOE [DE-SC0009988]
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- NSERC Discovery Grant
- ERA grant by the Province of Ontario
- Israel Science Foundation center for excellence grant
- I-CORE program of the Planning and Budgeting Committee
- Israel Science Foundation [1937/12]
- ERC STG grant [335182]
- Simons Foundation [488657]
We study 2+1 dimensional gauge theories with a Chem-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 Chem-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 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.
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