Penrose limit of AdS₄ x V_5,2 and operators with large R charge

We consider M-theory on AdS₄ x V_5,2 where V_5,2 = SO(5)/SO(3) is a Stiefel manifold. We construct a Penrose limit of AdS₄ x V_5,2 that provides the pp-wave geometry. There exists a subsector of three-dimensional N = 2 dual gauge theory, by taking both the conformal dimension and R charge large with the finiteness of their difference, which has enhanced N = 8 maximal supersymmetry. We identify operators in the N = 2 gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the gauge theory operators made out of chiral field of conformal dimension 1/3 fall into N = 8 supermultiplets.