Spin-glass complexity.
We study the quenched complexity in spin-glass mean-field models satisfying the Becchi-Rouet-Stora-Tyutin supersymmetry. The outcome of such study, consistent with recent numerical results, allows, in principle, to conjecture the absence of any supersymmetric contribution to the complexity in the Sherrington-Kirkpatrick model. The same analysis can be applied to any model with a full replica symmetry breaking phase, e.g., the Ising p-spin model below the Gardner temperature. The existence of different solutions, breaking the supersymmetry, is also discussed.
Crisanti
A
A
Dipartimento di Fisica, SMC and INFM, Università di Roma "La Sapienza," Piazzale Aldo Moro 2, I-00185 Roma, Italy.
Leuzzi
L
L
Parisi
G
G
Rizzo
T
T