Generalized N = 2 supersymmetric Toda field theories Original Research Article

In this paper we introduce a class of generalized supersymmetric Toda field theories. The theories are labeled by a continuous parameter and have N = 2 supersymmetry. They include previously known N = 2 Toda theories as special cases. Using the WZNW → Toda reduction approach we obtain a closed expression for the bracket of the associated W algebras. We also derive an expression for the generators of the W algebra in a free superfield realization.