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arxiv: 1710.03258 · v4 · pith:UDRT7M5Dnew · submitted 2017-10-09 · ✦ hep-th · cond-mat.str-el

Phases Of Adjoint QCD₃ And Dualities

Jaume Gomis , Zohar Komargodski , Nathan Seiberg This is my paper
classification ✦ hep-th cond-mat.str-el
keywords gaugefermionadjointgrouptheoriestheorychern-simonsdualities
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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.

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