  In this paper we consider the Penrose limit in the case of two gravity duals.
One of them, consists of compactified I-branes (intersecting sets of D5-branes
over $(1+1)$ dimensions). The second consists of D5-branes compactified on a
circle. Both compactifications preserve SUSY. We find a match of the
oscillators and masses of string modes on the resulting pp wave against a spin
chain in a $(2+1)-$dimensional field theory in the first case, and a spin chain
in a $(1+1)-$dimensional field theory in the second.
