Abstract

This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional mathcal{N} = 2 SCFTs. In the first two papers [1, 2] we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of mathcal{N} = 2 SCFTs. Here we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 mathcal{N} = 2 SCFTs.

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