Penrose limit of Ads₄ × N^0,1,0 and N = 3 gauge theory

We consider M-theory on AdS₄ × N^0,1,0 where N^0,1,0 = (SU(3)xSU(2))/(SU(2)xU(1)). We review a Penrose limit of AdS₄ × N^0,1,0 that provides the pp-wave geometry of AdS₄ × S⁷. There exists a subsector of three-dimensional N = 3 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 = 3 gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the N = 2 gauge theory operators originating from both N = 3 short vector multiplet N = 3 long gravitino multiplet fall into N = 8 supermultiplets.