PENROSE LIMIT OF AdS4 × N0,1,0 AND ${\mathcal N} = 3$ GAUGE THEORY

Abstract

We consider M-theory on AdS4 × N0,1,0 where N0,1,0 = ( SU (3) × (2))/( SU (2) × U (1)). We review a Penrose limit of AdS4 × N0,1,0 that provides the pp-wave geometry of AdS4 × S7. There exists a subsector of three-dimensional [Formula: see text] dual gauge theory, by taking both the conformal dimension and R-charge large with the finiteness of their difference, which has enhanced [Formula: see text] maximal supersymmetry. We identify operators in the [Formula: see text] gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the [Formula: see text] gauge theory operators originating from both [Formula: see text] short vector multiplet and [Formula: see text] long gravitino multiplet fall into [Formula: see text] supermultiplets.