Refined $E_n$ Chern-Simons theory

Abstract

The partition function of refined Chern-Simons theory on 3d sphere for the exceptional $E_n$ gauge algebras is presented in terms of multiple sine functions. Gopakumar-Vafa (BPS) approximation is calculated and presented in the form of some refined topological string partition function.Comment: On the basis of the talk given at the workshop SQS'2