3d SUSY enhancement and non-semisimple TQFTs from four dimensions

It has been recently shown that the celebrated SCFT4/VOA2 correspondence can be bridged via three-dimensional field theories arising from a specific R-symmetry twisted circle reduction. We apply this twisted reduction to the (A1, An) and (A1, Dn) families of 4d N=2 Argyres-Douglas SCFTs using their N=1 Agarwal-Maruyoshi-Song Lagrangians. From (A1, A2n) we derive the Gang-Kim-Stubbs family of 3d N=2 gauge theories with SUSY enhancement to N=4 in the infrared, generalizing a recent derivation made in the special cases n = 1, 2. Topological twists of these theories are known to yield semisimple TQFTs supporting rational VOAs on holomorphic boundaries. From (A1, A2n−1), (A1, D2n+1), and (A1, D2n), we obtain three new infinite families of 3d N=2 abelian gauge theories, all with monopole superpotentials, flowing to N=4 SCFTs without Coulomb branch, but with the same non-trivial Higgs branch as the four-dimensional parent. Their topological A-twist yields non-semisimple TQFTs related to logarithmic VOAs such as sû2−4/3.