  We consider a generalization of the leading-order matching of coherent state
actions for semiclassical states on the super Yang-Mills and the superstring
sides of the AdS/CFT duality to sectors with fermions. In particular, we
discuss the $SU(1|1)$ and $SU(2|3)$ sectors containing states with angular
momentum $J$ in $S^5$ and spin in $AdS_5$. On the SYM side, we start with the
dilatation operator in the $SU(2|3)$ sector having super spin chain Hamiltonian
interpretation and derive the corresponding coherent state action which is
quartic in fermions. This action has essentially the same ``Landau-Lifshitz''
form as the action in the bosonic SU(3) sector with the target space $CP^2$
replaced by the projective superspace $CP^{2|2}$. We then attempt to relate it
to the corresponding truncation of the full $AdS_5 \times S^5$ superstring
action written in a light-cone gauge where it has simple quartic fermionic
structure. In particular, we find that part of the superstring action
describing $SU(1|1)$ sector reduces to an action of a massive two-dimensional
relativistic fermion, with the expansion in the effective coupling
$\lambda/J^2$ being equivalent to a non-relativistic expansion.
