Rank-two tensors and deconfinement in 3d 𝒩 = 2 SU(N) gauge theories

In this paper we study the IR dynamics of SU(N) gauge theories with four supercharges in 3d in presence of symmetric or antisymmetric tensor. Using the tensor deconfinement technique we provide some proofs of results previously claimed in the literature about confining dualities for SU(N) with two antisymmetric tensors. Furthermore we study 3d confining dualities with symmetric tensors and linear monopole superpotentials. These confining dualities have been obtained by applying the duplication formula for the hyperbolic Gamma functions on effective dualities on ℝ^1,2 × S¹ with SU(N) gauge groups and antisymmetric tensors. We conclude the analysis providing an alternative derivation, again using the tensor deconfinement technique.