Three dimensional solitonic solutions

We give the general construction of solitonic solutions annihilated by half of the supersymmetries in three dimensions when the moduli space of the compactification is a Kähler manifold. In an explicit example, we show that the other half of the supersymmetries which should generate the supersymmetric multiplet are ill-defined and lead to a non bose-fermi degenerate solitonic spectrum.