Supersymmetric extensions of affine Toda theories
  It is shown that all affine Toda theories admit (1,0) supersymmetric extensions. The construction is based on classical Lie algebras and supersymmetric massive sigma models. The supersymmetrized affine Toda theories have a unique, supersymmetric vacuum, their mass matrix is well defined and their energy functional is positive semi-definite. 
A. Opfermann