title: Spin-glass complexity.
abstract: 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.
authors.affiliation: Dipartimento di Fisica, SMC and INFM, Università di Roma "La Sapienza," Piazzale Aldo Moro 2, I-00185 Roma, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Crisanti
authors.forename: L
authors.initials: L
authors.lastname: Leuzzi
authors.forename: G
authors.initials: G
authors.lastname: Parisi
authors.forename: T
authors.initials: T
authors.lastname: Rizzo