  We show that the singularities of certain distributions of M2-branes can be
removed by adding a Wilson loop around a compact direction along the brane. The
holographic coordinate naturally ends up before the singularity and the
resulting spacetime provides an AdS soliton configuration, albeit possibly
supersymmetric. We study the phase space diagram of these M2-branes
distributions endowed with Wilson loops and show that different distributions
are interconnected, providing a rich structure of phase transitions at zero
temperature.
