The replica symmetric formula for the SK model revisited

We provide a simple extension of Bolthausen's Morita type proof the replica symmetric formula [E. Bolthausen, Stat. Mech. Classical and Disordered Systems, pp. 63-93 (2018)] for Sherrington-Kirkpatrick model prove symmetry all $(\beta,h)$ that satisfy $\beta^2 E \operatorname{sech}^2(\beta\sqrt{q}Z+h) \leq 1$, where $q = E\tanh^2(\beta\sqrt{q}Z+h)$. Compared to (2018)], key argument is apply conditional second moment method suitably reduced partition function.