Nuclear Physics B249 (1985) 93-130 0 North-Holland Publishing Company SUPERSYMMETRIC SKYRMIONS IN FOUR DIMENSIONS

Possible topological solitons (skyrmions) of four-dimensional supersymmetric nonlinear (I-models are investigated. The requirements of supersymmetry limit our study to the CP ’ model. A stable soliton seems possible, but in the absence of a demonstrated lower-bound for the mass, the stability of the soliton is unproved. The semi-classical spectrum of the CP ’ skyrmion, as well as its supersymmetric extension, is studied. 1