Supersymmetric complexity in the Sherrington-Kirkpatrick model.
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.
Annibale
Alessia
A
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.
Cavagna
Andrea
A
Giardina
Irene
I
Parisi
Giorgio
G