Chiral algebras of class S

Understand

Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras.

• In this paper, we explore the chiral algebras that arise in this manner in the context of theories of class S.
• The class S duality web implies nontrivial associativity properties for the corresponding chiral algebras, the structure of which is best summarized in the language of generalized topological quantum field theory.
• We make a number of conjectures regarding the chiral algebras associated to various strongly coupled fixed points.