High Energy Theory Seminar

3d {\cal N} = 4 SCFTs have two protected topological sectors, one associated to the Higgs branch and one to the Coulomb branch. I will use supersymmetric localization to derive a Lagrangian description for the 1d sector associated with the Higgs branch, in the case in which the 3d SCFT has a UV Lagrangian description involving vector multiplets and hypermultiplets. The 1d Lagrangian is that of a topological gauged quantum mechanics. This 1d theory can be used to calculate n-point correlation functions of certain linear combinations of Higgs branch operators in the SCFT, and in particular it can be used to calculate the structure constants of the Higgs branch operator algebra.