  We consider soliton solutions in AdS$_{4}$ with a flat slicing and Wilson
loops around one cycle. We study the phase structure and find the ground state
and identify supersymmetric solutions as a function of the Wilson loops. We
work in the context of a scalar field truncation of gauged $\mathcal{N}=8$
supergravity, where all the dilatons are equal and all the axions vanish in the
STU model. In this theory, we construct new soliton solutions parameterized by
two Wilson lines. We find that there is a degeneracy of supersymmetric
solutions. We also show that, for alternate boundary conditions, there exists a
non-supersymmetric soliton solution with energy lower than the supersymmetric
one.
