Coexistence of supersymmetric and supersymmetry-breaking states in   spherical spin-glasses
  The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between the supersymmetric and the supersymmetry-breaking phase is triggered by a change in the stability of states. 
Alessia Annibale, Giulia Gualdi, Andrea Cavagna