Bootstrapping N=2 SCFTs

We discuss the bootstrap program applied to four-dimensional N=2 superconformal field theories, with special focus on analytical results. As a particular case we also consider the recently found N=3 SCFTs in four dimensions. We constrain the allowed space of SCFTs by making use of the existence of a protected subsector captured by a two-dimensional chiral algebra. Finally we discuss implications for the numerical bootstrap program