Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass

Bertrand Lacroix-A-Chez-Toine, Yan V. Fyodorov, Pierre Le Doussal

We derive, within the replica formalism, a generalisation of the Crisanti-Sommers formula to describe the large deviation function (LDF) $\mathcal{L}(e)$ for the speed-$N$ atypical fl…