More on Penrose Limit of AdS_4 x Q^{1,1,1}

TL;DR

This paper explores a Penrose limit of AdS_4 x Q^{1,1,1} that reveals a hidden N=8 supersymmetry in a subsector of the dual N=2 gauge theory, connecting supergravity excitations with gauge theory operators.

Contribution

It identifies a specific subsector of the N=2 gauge theory exhibiting enhanced N=8 supersymmetry and maps supergravity KK modes to gauge theory operators.

Findings

The pp-wave geometry matches that of AdS_4 x S^7 in the Penrose limit.

Operators in the N=2 gauge theory correspond to supergravity KK excitations.

N=8 supermultiplets encompass both chiral and semi-conserved multiplets.

Abstract

We consider a Penrose limit of AdS_4 x Q^{1,1,1} that provides the pp-wave geometry equal to the one in the Penrose limit of AdS_4 x S^7. We expect that there exists a subsector of three dimensional N=2 dual gauge theory which has enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge theory with 11-dimensional supergravity KK excitations in the pp-wave geometry and describe how both the chiral multiplets and semi-conserved multiplets fall into N=8 supermultiplets.