Penrose Limit of N=1 Gauge Theories

TL;DR

This paper explores the Penrose limit of AdS_5 x T^{1,1} and suggests a supersymmetry enhancement in a subsector of the N=1 gauge theory, linking string excitations to gauge theory operators.

Contribution

It demonstrates a Penrose limit leading to a pp-wave geometry similar to AdS_5 x S^5 and proposes supersymmetry enhancement in the corresponding N=1 gauge theory subsector.

Findings

Identifies a Penrose limit yielding a pp-wave geometry identical to that of AdS_5 x S^5.

Proposes a subsector of N=1 gauge theory with enhanced N=4 supersymmetry.

Shows examples with and without supersymmetry enhancement in the Penrose limit.

Abstract

We find a Penrose limit of AdS_5 x T^{1,1} which gives the pp-wave geometry identical to the one that appears in the Penrose limit of AdS_5 x S^5. This leads us to conjecture that there is a subsector of the corresponding N=1 gauge theory which has enhanced N=4 supersymmetry. We identify operators in the N=1 gauge theory with stringy excitations in the pp-wave geometry and discuss how the gauge theory operators fall into N=4 supersymmetry multiplets. We find similar enhancement of symmetry in some other models, but there are also examples in which there is no supersymmetry enhancement in the Penrose limit.