We use the relation between Drinfeld-Sokolov Korteweg-de Vries (KdV)
hierarchies and their super-extensions and conformal field theory (CFT) in
the quantization procedure. The quantization of such models gives
integrable structures for CFT, providing the possibility to study
integrable perturbations. It appears that the quantization can be
performed successfully in the case of models based on both (twisted)
affine algebras and their super-extensions. In this talk, basic ideas of
the quantization procedure are illustrated by two important examples: KdV
hierarchies based on affine sl(2) algebra and affine osp(2|1)
superalgebra.