On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces

TL;DR

This paper constructs the pp-wave string backgrounds from specific Sasaki-Einstein spaces and identifies their dual gauge theory operators, revealing the BMN structure in these geometries.

Contribution

It explicitly constructs pp-wave limits for $Y^{p,q}$ and $L^{p,q,r}$ spaces and maps their string states to gauge theory operators, including a detailed example.

Findings

Identified chiral and non-chiral operators in dual theories.

Constructed explicit pp-wave backgrounds from Sasaki-Einstein geometries.

Mapped string ground and excited states to gauge theory operators.

Abstract

We construct the pp-wave string associated with the Penrose limit of $Y^{p,q}$ and $L^{p,q,r}$ families of Sasaki-Einstein geometries. We identify in the dual quiver gauge theories the chiral and the non-chiral operators that correspond to the ground state and the first excited states. We present an explicit identification in a prototype model of $L^{1,7,3}$.