Irregular Singularities in the H3+ WZW Model

Abstract: We propose a definition of irregular vertex operators in the H3+ WZW model. Our definition is compatible with the duality [1] between the H3+ WZW model and Liouville theory, and we provide the explicit map between correlation functions of irregular vertex operators in the two conformal field theories. Our definition of irregular vertex operators is motivated by relations to partition functions of N=2 gauge theory and scattering amplitudes in N=4 gauge theory