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Duality and Confinement in 3d mathcal{N}=2 "chiral" SU(N) gauge theories

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arxiv 1809.10757 v2 pith:CGEBW2IL submitted 2018-09-27 hep-th

Duality and Confinement in 3d mathcal{N}=2 "chiral" SU(N) gauge theories

classification hep-th
keywords theorieschiralbranchcoulombdualitiesgaugemathcalconfinement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study low-energy dynamics of three-dimensional $\mathcal{N}=2$ $SU(N)$ "chiral" gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental matters without a Chern-Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called "dressed" Coulomb branch (monopole) operators. We propose dualities and confinement phases for the "chiral" $SU(N)$ theories. The theories with $N>F > \bar{F}$ exhibit spontaneous supersymmetry breaking. The very many Coulomb branch operators generally remain exactly massless and are non-trivially mapped under the dualities. Some dualities lead to a novel duality between $SU(N)$ and $USp(2 \tilde{N})$ theories. For the 3d $\mathcal{N}=2$ $SU(2)$ gauge theory with $2F$ doublets, there are generally $F+2$ "chiral" and "non-chiral" dual descriptions.

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