The bootstrap approach to 4d superconformal field theories

We review the conformal bootstrap approach to 4d N>1 superconformal field theories (SCFTs), and how it constrains the space of allowed theories. From the landscape of N=2 SCFTs we focus on the "simplest" Argyres-Douglas theory and approach it both with numerical bootstrap techniques and with the Lorentzian inversion formula. We "zoom in" to the theory by specifying Coulomb branch data, and obtain constraints on its operator spectrum and OPE coefficients. We conclude with an outlook for the prospects of approaching other Argyres-Douglas theories