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Generalized N=2 Supersymmetric Toda Field Theories

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 ${\cal W}$ algebras. We also derive an expression for the generators of the ${\cal W}$ algebra in a free superfield realization.