Non-abelian Q-balls in supersymmetric theories

We demonstrate the existence of non-abelian non-topological solitons such a s Q-balls in the spectrum of Wess-Zumino models with non-abelian global sym metries. We conveniently name them Q-superballs and identify them for short as Q-sballs. More specifically, we show that in contrast to the non-supers ymmetric case, they arise in renormalizable potentials with cubic self-inte ractions of only one dimensionful parameter and for the entire parameter sp ace of the model available, We solve the field equations and present the ex plicit form of the Q-sball solution. We compute its main physical propertie s and observe that in the supersymmetrically invariant vacuum Q-sballs form domains of manifestly broken sypersymmetry. (C) 1998 Elsevier Science B.V, All rights reserved.