We introduce a family of 3d N = 4 superconformal field theories that have zero-dimensional Coulomb and Higgs branches and propose that the rational vertex operator algebras Wᵐⁱⁿ_k - 1/2(sp2N) and Lₖ(osp1|2N) model the modular tensor categories of line operators in their topological A and B twists, respectively. Our analysis indicates that the action of 3d mirror symmetry on this family of theories is related to a novel level-rank duality and leads to several conjectural q-series identities of independent interest.
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Creutzig et al. (2024) studied this question.
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