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We start with the SCFT/VOA correspondence formulated in the Omega-backgroundapproach, and connect it to the boundary VOA in 3d $\mathcal{N}=4$ theories andchiral algebras of 2d $\mathcal{N}=(0,2)$ theories. This is done using thedimensional reduction of the 4d theory on the topologically twisted andOmega-deformed cigar, performed in two steps. This paves the way for many moreinteresting questions, and we offer quite a few. We also use this approach toexplain some older observations on the TQFTs produced from the generalizedArgyres-Douglas (AD) theories reduced on the circle with a discrete twist. Inparticular, we argue that many AD theories with trivial Higgs branch, uponreduction on $S^1$ with the $\mathbb{Z}_N$ twist (where $\mathbb{Z}_N$ is aglobal symmetry of the given AD theory), result in the rank-0 3d$\mathcal{N}=4$ SCFTs, which have been a subject of recent studies. A genericAD theory, by the same logic, leads to a 3d $\mathcal{N}=4$ SCFT withzero-dimensional Coulomb branch (and suggests that there are a lot of them).Our construction therefore puts various empirical observations on the firmground, such as, among other things, the match between the 4d VOA and theboundary VOA for some 3d rank-0 SCFTs previously observed in the literature. Weend with an extensive list of promising open problems.

On the 4d/3d/2d view of the SCFT/VOA correspondence