One-dimensional sectors from the squashed three-sphere

Three-dimensional $\mathcal{N} = 4$ superconformal field theories contain 1d topological sectors consisting of twisted linear combinations half-BPS local operators that can be inserted anywhere along a line. After conformal mapping to round three-sphere, the are now defined on great circle $S^3$. We show preserved under squashing sphere. For gauge with matter hypermultiplets, we use supersymmetric localization derive an explicit description sector associated Higgs branch. Furthermore, find dependence correlation functions parameter $b$ removed after appropriate rescalings. One introduce real mass and Fayet-Iliopolous parameters that, rescalings, modify theory squashed sphere precisely as they do In addition, also when generic 3d $\mathcal{N}=4$ is deformed by parameters, this deformation translates into universal corresponding theory.