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Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses

arXiv:cond-mat/0406466 · doi:10.1088/0305-4470/37/47/001

Abstract

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.