I will begin my talk by considering mass-like deformations of the tame Hitchin integrable system and give a classification of such deformations in terms of sheets in the associated complex Lie algebra. Then, I will identify the subset of mass-like deformations that admit an actual interpretation as a mass deformation of a N=2 Class S SCFT (compactified down to three dimensions). In this story, a subset of these theories that we call ``Rigid SCFTs" will play an important role.
If time permits, I will use our results to conjecture how Symplectic Dualityshould act (at the level of strata) for a particular family of 3d N=4 theories introduced by Gaiotto and Witten.
This is based on joint work with J. Distler (arXiv:1810.10652)