Supersymmetric Insulating phases of topological superconductors

In this talk, I will discuss a few aspects of topological-superconductor to insulator transitions. I'll argue that the insulating phases of topological superconductors have unique properties that are dual to several spin liquid phases supporting exotic non-Abelian particles. We will discuss the stabilization of these spin liquids by interactions between Majorana-zero modes in Cooper pair box and their possible utilization for universal quantum computation in supersymmetric models.