Coexistence of supersymmetric and supersymmetry-breaking states in spherical spin-glasses
Alessia Annibale, Giulia Gualdi, Andrea Cavagna
TL;DR
This paper analyzes the state structure of perturbed p-spin spherical spin-glasses, revealing a phase transition from supersymmetric to supersymmetry-breaking states driven by stability changes.
Contribution
It uncovers the coexistence and transition between supersymmetric and supersymmetry-breaking states in spin-glasses based on free energy and stability analysis.
Findings
Metastable states exhibit supersymmetry at low free energy.
Supersymmetry is broken in higher free energy states.
Transition is driven by stability changes in the states.
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.
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