REPRESENTATIONS OF GENERAL DIMENSION FOR THE SKYRME MODEL

We construct the representations of general dimension for the soliton solution to the SU(2) Skyrme model, and show that at the classical lev el the dependence on the dimension of the representation (2j + 1) appe ars only as an overall factor j(j + 1)(2j + 1) in the Lagrangian densi ty, which may be adsorbed by a rescaling of the parameters. Alternate stabilizing terms in the model will in general have a different j-depe ndence and have to be rescaled accordingly in order to achieve represe ntation independent predictions. In contrast the quantum corrections d o depend on the dimension of the representation and in general differ from those obtained in the fundamental representation of SU(2).