The Alday-Gaiotto-Tachikawa (AGT) correspondence allows a wide class of 4d N = 2 gauge theories (class S) to be studied in the dual 2d CFT Liouville theory. In particular, the gauge theory partition function is identified with a Liouville correlator. In this talk I will discuss how the AGT correspondence can be extended to 3, 5 and 6 dimensional supersymmetric gauge theories and 2d quantum field theories with deformed Virasoro symmetry.
