Logarithmic limits of minimal models

It is discussed how a limiting procedure of (super)conformal field theories may result in logarithmic (super)conformal field theories. The construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory (CFT) and in N=1 superconformal field theory. The resulting infinite family of logarithmic models may be seen as belonging to the boundary of the set of minimal models. Examples of logarithmic CFTs thus obtained have integer central charges 1, -2, -7 and -24, and half-integer values 3/2 and -5/2 in the superconformal case