Replica analysis of the generalized p-spin interaction glass model
  We investigate stability of replica symmetry breaking solutions in generalized $p$-spin models. It is shown that the kind of the transition to the one-step replica symmetry breaking state depends not only on the presence or absence of the reflection symmetry of the generalized "spin"-operators $\hat{U}$ but on the number of interacting operators and their individual characteristics. 
T.I. Schelkacheva and N.M. Chtchelkatchev
cond-mat.dis-nn cond-mat.stat-mech