R-matrix formulation of affine Yangian of glˆ(1|1)

Abstract

We study N=2 superconformal field theory and define the R-matrix which acts as an intertwining operator between different realizations of N=2 W-algebras of type A. Using this R-matrix we define RLL algebra and relate it to current realization of affine Yangian of glˆ(1|1).