Supersymmetric Toda field theories

We present new supersymmetric extensions of Conformal Toda and AN(1) Affine Toda field theories. These new theories are constructed using methods similar to those that have been developed to find supersymmetric extensions of two-dimensional bosonic sigma models with a scalar potential. In particular, we show that the Conformal Toda field theory admits a (1,1)-supersymmetric extension, and the AN(1) Affine Toda field admits a (1,0)-supersymmetric extension.