Supersymmetric Q-balls and boson stars in (d+1) dimensions

We construct supersymmetric Q-balls and boson stars in (d+1) dimensions. These non-topological solitons are solutions of a scalar field model with global U(1) symmetry. We apply in our work a scalar field potential that appears in gauge-mediated supersymmetry (SUSY) breaking in the minimal supersymmetric extension of the Standard Model (MSSM). We study the asymptotically flat solutions of such solitons. We show that for our choice of the potential gravitating, asymptotically flat boson stars exist in (2+1) dimensions. We observe that the behaviour of the mass and charge of the asymptotically flat solutions at maximal frequency depends strongly on the number of spatial dimensions. We also find that boson stars with arbitrarily large values of the mass and charge exist for d≥5 and exhibit some new features. We can also draw conclusions about the stability of these objects with respect to the decay into Q free bosons. In particular we find that the ''thick-wall limit'' Q-balls are always unstable in flat space-time.