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arXiv · 1810.07720

Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality

Changha Choi·Diego Delmastro·Jaume Gomis·Zohar Komargodski
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Abstract

Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the rank-two symmetric and antisymmetric representation. We argue that when the Chern-Simons level is sufficiently small the theory develops a quantum phase with an emergent topological field theory. When the Chern-Simons level vanishes, we further argue that a baryon condenses and hence baryon symmetry is spontaneously broken. The infrared theory then consists of a Nambu-Goldstone boson coupled to a topological field theory. Our proposals also lead to new fermion-fermion dualities involving fermions in two-index representations. We make contact between our proposals and some recently discussed aspects of four-dimensional gauge theories. This leads us to a proposal for the domain wall theories of non-supersymmetric gauge theories with fermions in two-index representations. Finally, we discuss some aspects of the time-reversal anomaly in theories with a one-form symmetry.

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Changha Choi, Diego Delmastro, Jaume Gomis, Zohar Komargodski. 2018-10-17. Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality. https://arxiv.org/abs/1810.07720

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