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Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model

arXiv:cond-mat/0304698 · doi:10.1103/PhysRevE.68.061103

Abstract

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 static free energy with respect to the largest replica symmetry breaking point of its overlap matrix.