The u(2|2)1 WZW model

Abstract

WZW models based on super Lie algebras play an important role for the description of string theory on AdS spaces. In particular, for the case of AdS3×S3 with pure NS–NS flux the super Lie algebra of psu(1,1|2)k appears in the hybrid formalism, and higher dimensional AdS spaces can be described in terms of related supergroup cosets. In this paper we study the WZW models based on u(2|2)1 and psu(2|2)1 that may play a role for the worldsheet theory that is dual to free super Yang–Mills in 4D.