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S-confinements from deconfinements
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abstract
We consider four dimensional $\mathcal{N}=1$ gauge theories that are S-confining, that is they are dual to a Wess-Zumino model. S-confining theories with a simple gauge group have been classified. We prove all the S-confining dualities in the list, when the matter fields transform in rank-$1$ and/or rank-$2$ representations. Our only assumptions are the S-confining dualities for $SU(N)$ with $N+1$ flavors and for $Usp(2N)$ with $2N+4$ fundamentals. The strategy consists in a sequence of deconfinements and re-confinements. We pay special attention to the explicit superpotential at each step.
Forward citations
Cited by 2 Pith papers
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Rank-two tensors and deconfinement in 3d $\mathcal{N}=2$ $SU(N)$ gauge theories
The authors derive confining dualities for 3d SU(N) theories with two antisymmetric tensors (nf+na=4) and for symmetric-tensor theories with monopole superpotentials, using tensor deconfinement and duplication identities.
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Six Easy Pieces: interplays among dualities in 4d, 3d and 2d
Baryon-deformed SU(N) gauge theory with an antisymmetric tensor is shown to flow to a free magnetic phase, and its reductions yield new 3d SU/SO and 2d SU/USp dualities.
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