title: Supersymmetric complexity in the Sherrington-Kirkpatrick model.
abstract: By using a supersymmetric approach we compute the complexity of the metastable states in the Sherrington-Kirkpatrick spin-glass model. We prove that the supersymmetric complexity is exactly equal to the Legendre transform of the thermodynamic free energy, thus providing a recipe to find the complexity once the free energy is known. Our results suggest that the supersymmetry may be a useful tool for the calculation of the entropy of metastable states in generic glassy systems.
authors.affiliation: Dipartimento di Fisica, Università di Roma La Sapienza and Center for Statistical Mechanics and Complexity, INFM Roma 1, Piazzale Aldo Moro 2, 00185 Roma, Italy.
authors.forename: Alessia
authors.initials: A
authors.lastname: Annibale
authors.forename: Andrea
authors.initials: A
authors.lastname: Cavagna
authors.forename: Irene
authors.initials: I
authors.lastname: Giardina
authors.forename: Giorgio
authors.initials: G
authors.lastname: Parisi