Deformed PP-waves from the Lunin-Maldacena Background

TL;DR

This paper analyzes a pp-wave limit of the Lunin-Maldacena background, deriving the string spectrum and identifying dual operators in a deformed super Yang-Mills theory, revealing how certain operators decouple and relate to string modes.

Contribution

It introduces a homogeneous pp-wave background from the Lunin-Maldacena geometry and identifies the dual operators in the deformed super Yang-Mills theory, including the lowest string mode.

Findings

Derived the string spectrum in the deformed background

Identified dual operators in the deformed super Yang-Mills theory

Provided evidence for decoupling of nearly protected operators

Abstract

In this article we study a pp-wave limit of the Lunin-Maldacena background. We show that the relevant string theory background is a homogeneous pp-wave. We obtain the string spectrum. The dual field theory is a deformation of N=4 super Yang-Mills theory. We have shown that, for a class of operators, at O(g_{YM}^2) and at leading order in N, all contributions to the anomalous dimension come from F-terms. We are able to identify the operator in the deformed super Yang-Mills which is dual to the lowest string mode. By studying the undeformed theory we are able to provide some evidence, directly in the field theory, that a small set of nearly protected operators decouple. We make some comments on operators in the Yang-Mills theory that are dual to excited string modes.