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Sporadic dualities from tensor deconfinement
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abstract
In this paper we give a field theory explanation of two confining dualities that have been proposed in the literature based on exact results from supersymmetric localization. The first confining model under investigation is 4d $SU(N_c+1)$ SQCD with a conjugate rank-$2$ anti-symmetric tensor, $N_c+3$ anti-fundamentals, $2N_c$ fundamentals and a superpotential that couples the anti-symmetric tensor and the fundamentals. The second confining model studied here is $3d$ $\mathcal{N}=2$ $USp(4)$ gauge SQCD with two fundamentals, two rank-$2$ anti-symmetric tensors and vanishing superpotential. Here we prove that these models are confining by using the technique of deconfining the anti-symmetric tensors and then by flowing to the IR description by sequential dualities. As a bonus the analysis provides (alternative) proofs of the identities obtained from supersymmetric localization.
Forward citations
Cited by 3 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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Boundary lines and Askey-Wilson type moments
Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.
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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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