Mass Deformations and Sheets in Logahoric Higgs Moduli

We use the framework of the logahoric Hitchin integrable system introduced in our earlier work and the sheets of the Lie algebra in order to describe the tame defects in a six dimensional $\mathcal{N}=(2,0)$ superconformal theory under mass deformations. We show that varying leaves of fixed dimension in the Hitchin system amounts to varying residue orbits of fixed dimension. Moreover, we verify the period and dimension conditions in mass-like deformations, as proposed by Balasubramanian–Distler, thus realizing the sheets of the Lie algebra on the Poisson moduli space of logahoric Higgs torsors.