Yangian of AdS3/CFT2 and its deformation

Abstract

We construct highest-weight modules and a Yangian extension of the centrally extended sl(1|1)2 superalgebra, that is a symmetry of the worldsheet scattering associated with the AdS3/CFT2 duality. We demonstrate that the R-matrix intertwining atypical modules has an elegant trigonometric parametrization. We also consider a quantum deformation of this superalgebra, its modules, and obtain a quantum affine extension of the Drinfeld-Jimbo type that describes a deformed worldsheet scattering.