Abstract
Quantum field theory (QFT) is a universal framework for theoretical physics that describes a variety of phenomena ranging from particle physics to condensed matter systems. In this talk I will describe an important family of QFTs known as conformal field theories (CFTs) and outline their axiomatic formulation. I will further specialize to CFTs which are supersymmetric and discuss some of the extra structures which are present in this case. This includes connections with vertex operator algebras and integrable models.