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Numerical study of metastable states in Ising spin glasses
Andrea Cavagna, Irene Giardina, Giorgio Parisi
We study numerically the structure of metastable states in the Sherrington-Kirkpatrick spin glass. We find that all non-paramagnetic stationary points of the free energy are organi…
The role of the Becchi-Rouet-Stora-Tyutin supersymmetry in the calculation of the complexity for the Sherrington-Kirkpatrick model
Alessia Annibale, Andrea Cavagna, Irene Giardina +2
The Becchi-Rouet-Stora-Tyutin (BRST) supersymmetry is a powerful tool for the calculation of the complexity of metastable states in glassy systems, and it is particularly useful to…
Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model
Alessia Annibale, Andrea Cavagna, Irene Giardina +1
By using the BRST supersymmetry we compute the quenched complexity of the TAP states in the SK model. We prove that the BRST complexity is equal to the Legendre transform of the st…