  The magnetic field driven superconductor to insulator transition in thin
films was theoretically analyzed via a vortex-charge duality transformation
applied to the Hamiltonian. Vortices condensation was conjectured as the
underline physical mechanism of the insulating phase. Experimental evidence
supported duality symmetry across the magnetic-field driven superconductor to
insulator transition in amorphous Indium Oxide films. Counterintuitively,
duality symmetry is broken at low temperatures where the insulating phase
develops strongly non linear current-voltage characteristics. Here, we follow
the breakdown of duality symmetry down to very low temperatures and demonstrate
the restoration of duality symmetry out of equilibrium.
