From world-sheet supersymmetry to super target spaces

We investigate the relation between mathcal{N} = left( {2,2} right) super conformal Lie group WZNW models and Lie super group WZNW models. The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model. Moreover, the superconformal currents are expressed in terms of Lie superalgebra currents in the twisted theory. As applications, we find protected sectors and boundary actions in the supergroup sigma model. A special example is the relation between string theory on AdS₃×S³×T⁴ in the RNS formalism and the U(1, 1|2)×U(1|1)×U(1|1) supergroup WZNW model.