Year: 2025
Type: article
Abstract: 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 $$ \mathcal{N}=2 $$ N = 2 Argyres-Douglas SCFTs using their $$ \mathcal{N}=1 $$ N = 1 Agarwal-Maruyoshi-Song Lagrangians. From ( A 1 , A 2 n ) we derive the Gang-Kim-Stubbs family of 3d $$ \mathcal{N}=2 $$ N = 2 gauge theories with SUSY enhancement to $$ \mathcal{N}=4 $$ 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 $$ \mathcal{N}=2 $$ N = 2 abelian gauge theories, all with monopole superpotentials, flowing to $$ \mathcal{N}=4 $$ 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 $$ \hat{su}{(2)}_{-4/3} $$ su ̂ 2 − 4 / 3 .
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414450097