Penrose Limit of AdS_4 x N^{0,1,0} and N=3 Gauge Theory

TL;DR

This paper explores the Penrose limit of M-theory on AdS_4 x N^{0,1,0} and its relation to an N=3 gauge theory, revealing an N=8 supersymmetric subsector through pp-wave geometry analysis.

Contribution

It identifies the Penrose limit of AdS_4 x N^{0,1,0} leading to a pp-wave geometry and maps N=3 gauge theory operators to supergravity KK excitations, showing supersymmetry enhancement.

Findings

Penrose limit yields pp-wave geometry of AdS_4 x S^7.

N=3 gauge theory subsector exhibits N=8 supersymmetry.

Operators from N=3 multiplets fit into N=8 supermultiplets.

Abstract

We consider M-theory on AdS_4 x N^{0,1,0} where N^{0,1,0}= (SU(3) x SU(2))/(SU(2) x U(1)). We review a Penrose limit of AdS_4 x N^{0,1,0} that provides the pp-wave geometry of AdS_4 x S^7. 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 and N=3 long gravitino multiplet fall into N=8 supermultiplets.