Supersymmetric Toda Field Theories

Abstract

We present new supersymmetric extensions of Conformal Toda and $A^{(1)}_N$ 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 $A^{(1)}_N$ Affine Toda field admits a (1,0)-supersymmetric extension.