A pseudo-mathematical pseudo-review on 4d N = 2 supersymmetric quantum field theories

Supersymmetric quantum field theories in four spacetime dimensions with N = 2 supersymmetry will be introduced in a pseudo-mathematical language. Topics covered include the idea of categories of quantum field theories, general properties of N = 2 supersymmetric theories and their relation to W-algebras and to elliptic generalizations of Macdonald functions. This is a write-up of the lectures given by the author at IPMU and at RIMS in 2012.