Orientational glass: Full replica symmetry breaking in generalized spin glass-like models without reflection symmetry

► We investigate the generalized SK-model with arbitrary operators standing instead of Ising spins. ► We focus on the case when U is an operator with broken reflection symmetry. ► We build a full replica symmetry breaking solution for the orientational glass order parameters. ► FRSB is first described in a generalized SK-model without the reflection symmetry.