Superconformal confinement

A superconformal algebra with anticommuting spinor generators is considered. A representation of this superalgebra on superfields is obtained and the corresponding two- and four-point functions of these fields are calculated. It turns out that some of the components of the superfield describe particles which do not propagate; consequently, fields of this type can be used as a model of confined quarks. By the expression for the four-point function invariant under such a superalgebra one may conclude that the composite field constructed by two quark fields describes a propagating particle. (S.P.)