The Superconformal Bootstrap Program

I will outline the modern bootstrap program for four-dimensional theories with extended superconformal symmetry. The bootstrap equations neatly split into two classes. There are ``minibootstrap'' equations for supersymmetric quantities, which can be solved analytically, and full-fledged bootstrap equations for non-protected quantities, which can be studied numerically. The entire program relies on general symmetry principles, with no need for ``fields'' or Lagrangians. After a general introduction, I will mostly focus on the numerical results of the = 4 bootstrap, and on their interpretation in = 4 super Yang-Mills theory.