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

A bstract It has been recently shown that the celebrated SCFT 4 /VOA 2 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 (A 1, A n) and (A 1, D n) families of 4d N=2 N = 2 Argyres-Douglas SCFTs using their N=1 N = 1 Agarwal-Maruyoshi-Song Lagrangians. From (A 1, A 2 n) we derive the Gang-Kim-Stubbs family of 3d N=2 N = 2 gauge theories with SUSY enhancement to N=4 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 (A 1, A 2 n −1), (A 1, D 2 n +1), and (A 1, D 2 n), we obtain three new infinite families of 3d N=2 N = 2 abelian gauge theories, all with monopole superpotentials, flowing to N=4 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 su (2) -₄/₃ su ̂ 2 − 4 / 3.